Question

Find the sum or difference of (2m+7)-(3-4m)

Answer 1

distribute invisble -1

-1(3-4m)=-1(3)-1(-4m)=-3+4m

we have
2m+7-3+4m
move
2m+4m+7-3
add like terms
aka undistribute
m(2+4)+7-3
m(6)+4
6m+4

Answer 2

(2m + 7) - (3 - 4m)

First distribute the (-) in front of the quantity of 3 - 4m.
Think of it as this:

-1(3 - 4m)

You multiply each number inside the parenthesis by -1.

So:

3*-1 = -3
-4m * -1 = 4m

Now that you've distributed the negative you can remove the parenthesis.
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean:

2m + 7 - 3 + 4m

Combine like terms (Terms which have the same variables... in this case the same number of m's)

Rearranging them can help!

4m + 2m + 7 - 3

6m + 7 - 3

6m + 4, is our difference!