Question

How do I solve this?

Answer 1

First you collect the like term then variable one side coefficient one side and constant

Answer 2

It looks like you tried to distribute the 8, which you cant
what you can distribute is the negative sign
so fyi, distribution property
a(b+c) = ab+ac

(4w^2+4w +8) - (2w^2+3w -6)
now, this expression is equivalent to the one below, notice the -1
(4w^2+4w +8) +(-1) (2w^2+3w -6)

we distribute the -1
(4w^2+4w +8) - 2w^2 -3w +6

now, looking at the parenthesis on the left, since you cant add them together because they have different terms, we dont need the parenthesis

4w^2+4w +8 - 2w^2 -3w +6

Since addition is commutative, we can put like terms next to each other
parenthesis used to show like term groups
(4w^2- 2w^2) +(4w -3w) +(6 +8)

now, since the terms within the parenthesis are like terms, you can add/subtract them together
2w^2 + w +14

any questions