Question

What is the sum of 1/3(9-6m) + 1/4(12m -8)?

Answer 1

The sum of the given expression is (m+1).

Explanation:

The given expression is

`(1)/(3)(9-6m)+(1)/(4)(12m-8)`

Use distributive property to to simplify the given expression.

`(1)/(3)(9-6m)+(1)/(4)(12m-8)=(1)/(3)(9)+(1)/(3)(-6m)+(1)/(4)(12m)+(1)/(4)(-8)`

`(1)/(3)(9-6m)+(1)/(4)(12m-8)=3-2m+3m-2`

Add like terms.

`(1)/(3)(9-6m)+(1)/(4)(12m-8)=(3-2)+(-2m+3m)`

`(1)/(3)(9-6m)+(1)/(4)(12m-8)=(1)+(m)`

`(1)/(3)(9-6m)+(1)/(4)(12m-8)=m+1`

The sum of the given expression is (m+1).