Question

solve for w.
5w + 9z = 2z + 3w
\\( w = -\frac{7}{2}z \\)
\\( w = -\frac{3}{7}z \\)
\\( w = -2z \\)
\\( w = -7z \\)

Explanation:

Step1: Isolate terms with $w$

Subtract $3w$ and $5w$ from both sides:
$5w - 3w + 9z - 9z = 2z - 9z + 3w - 3w$
Simplify to get: $2w = -7z$

Step2: Solve for $w$

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

Answer:

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