Question

What is 7-(a-b)-4+(3a-2b)

Answer 1

`\boxed{2a+3-b}`

Explanation:

Distributive property:

↓

A(B+C)=AB+AC

Remove parenthesis first.

7-(a-b)-4+3a-2b

(-a-b)=-a+b

7-a+b-4+3a-2b

Simplify, to find the answer.

7-a+b-4+3a-2b

Group like terms:

↓

-a+3a+b-2b+7-4

Add numbers from left to right.

-a+3a=2a

2a+b-2b+7-4

b-2b=-b

2a-b+7-4

Adding and subtracting numbers from left to right.

7-4=3

2a+3-b

`2a+3-b`, which is our answer.

Answer 2

3 +2a -b

Explanation:

7-(a-b)-4+(3a-2b)

Distribute the minus

7 -a +b -4 +3a-2b

Combine like terms

7-4 -a +3a +b-2b

3 +2a -b