Solve for w. 5 w plus 9 z is equal to 2 z plus 3 w

Start with 5w + 9z = 2z + 3w. Subtract 3w from both sides and subtract 9z from both sides to get 2w = −7z. Divide both sides by 2, giving w = −7/2 z, which matches choice A.

AI-written and checked against the verified answer.