solve for w.\n5w + 9z = 2z + 3w\nw = -\\frac{7}{2}z\nw = -\\frac{2}{7}z\nw = -2z\nw = -7z

Explanation:

Step1: Move terms with w to one - side

Subtract 3w from both sides: $5w - 3w+9z=2z + 3w-3w$ $2w+9z = 2z$

Step2: Move the z - terms to the other side

Subtract 9z from both sides: $2w+9z-9z=2z - 9z$ $2w=-7z$

Step3: Solve for w

Divide both sides by 2: $w=\frac{-7z}{2}=-\frac{7}{2}z$

Answer:

$w =-\frac{7}{2}z$