Q&A for How to Use Distributive Property to Solve an Equation

-6(a+8) = -6a-48, the number outside the bracket multiplies everything inside the bracket. i.e. (-6 x a) + (-6 x 8) = -6a - 48.

This is an effort to show you that you can rewrite a multiplication problem, using the distributive property. Instead of performing 9x15, you can break the 15 into smaller parts. In this case, someone has chosen 9 and the first part and you have to fill in the rest. Since 9+6=15, the blank space in your problem will be filled in with a 6. You will then have 9x15=(9x9)+(9x6). If you can resolve those two parentheses in your head and add them, you can do the solution. 9x9=81, and 9+6=54, so 81+54=135. Therefore the original problem 9x15=135.

When solving an equation that includes an expression like $10 - 5(9n - 9)$, you should first distribute the $-5$ to each term inside the parentheses, resulting in $10 - 45n + 45$. Next, combine the constant terms ($10 + 45$) to simplify the expression to $55 - 45n$. From this point, you can solve for $n$ using standard algebraic methods.

You may have copied this problem incorrectly. You cannot "solve" this expression, because it's not an equation. All you can do is simplify it. Perform the step inside the parentheses first. You will get 8x-3(-1). Then multiply the -3 by -1 to get +3. The simplified expression is 8x+3. Check your source to see if you miscopied the question.

The distributive property helps you simplify complex mathematical expressions and equations by breaking them into more manageable parts.

Make the decimal the numerator, and use 100 as the denominator, then reduce the fraction if possible.

Find the "difficult" number in the problem and rewrite it as the sum of two "easy" numbers. For example, 22 can be rewritten as (20+2). Then you can write your original problem as 8(20+2). Use the distributive property to get (8)(20)+(8)(2)=160+16=176.

Since you can't multiply a's and b's together, the answer would just be -8a x 3b.

The distributive property can help you do some mental math and perform multiplication in your head. You can rewrite 7 x 16 as 7(10+6). Then the distributive property makes this fairly easy, as it becomes 7*10=70, and 7*6=42. Just add those two parts together, 70+42=112. Therefore the answer to 7x16=112. If you practice this you can quickly do multiplications in your head.

For simple multiplication like 8x6, you typically just recall the answer, which is 48. However, to demonstrate the distributive property, you can rewrite 8 as (10-2). Then, the problem becomes (10-2) x 6, which you distribute to (10 x 6) - (2 x 6). This calculation simplifies to 60 - 12, giving you 48.

You can't "solve" this expression, because it's not an equation. But by the distributive property you can perform the implied multiplication to arrive at 4y + 32.

652 = 6(100) + 5(10) + 2(1).

When multiplying a number in the "teens," you can break it into 10 and whatever is left. This creates two simple multiplications that you can do in your head. Thus, 14x6=(10+4)(6). Then use the distributive property to rewrite this as (10x6)+(4x6). This is (60)+(24)=84.

The "b+2" is multiplied by the "-6" in front of it: that makes it "-6b-12." In the other parentheses, "-4+6" is the same as "+2." That's multiplied by the "-2" in front of it, making it "-4." The "+b" in the middle of the expression isn't multiplied by anything, so it remains unchanged. So you have "-6b-12+b-4," which simplifies to "-5b-16."

One way parentheses could be used in that equation is this: 6(x + 2) - 2x = 4x + 12.

2*9x-2*8=8*x-8*7, 18x-16=8x-56, 18x-8x=56+16, 10x=72, x=72/10, x=36/5. So, the answer is x=7-1/5.

-2(a - 5) = -2(a) - 2(-5) = -2a + 10 = 10 - 2a.

Multiply both sides by 3: 2x² + 7 = 39. Subtract 7 from both sides: 2x² = 32. Divide both sides by 2: x² = 16. Find the square root of both sides: x = +/-4. (PEMDAS does not necessarily apply when solving an equation. It is applied mainly when simplifying expressions.)

6(59) = 6(50 + 9) = 6(50) + 6(9) = 300 + 54 = 354.

Take the value(s) you calculated and substitute it back into the original equation to see if it works.

If by "combine" you mean "add," 3x + x = 3x + 1x = 4x.

You would take the 7 out. Then it will turn into 7(12-5), which equals to 7x7 = 49.

You can't use the distributive property for this problem. It is also impossible to simplify without knowing the value of the variables.

You cannot "solve" this because it's not an equation, but you can perform the multiplication: 2x^5 + 6x² + 16x + 14.

Do what is inside the parentheses first: 2 + 4 = 6. Next multiply and divide: 60 / [(5)(6)] = 60/30 = 2.

a(b +c) = ab + ac. a(b - c) = ab - ac.

Using the distributive property, you would first multiply (4/5) by (2/3) to get 8/15, then multiply (4/5) by (3/4) to get 12/20, and then add 8/15 to 12/20 to get (32/60 + 36/60) = 68/60 = 17/15 or 1 2/15.

You cannot "solve" that expression, because it is not an equation.