Answer
$w=-3$
Work Step by Step
We first subtract w on both sides to get that $2w+2=-4$. We need to get the w alone. Thus, we cancel out the addition by subtracting 2 on both sides. This leaves us with the equation $2w=-6$. In order to cancel out multiplication, we use division, so we divide both sides of the equation by 2 to get that $w=-3$. We plug -3 in for w and confirm that our answer is, indeed, correct.