Answer
$w=-20$
Work Step by Step
Step 1: $\frac{4}{5}w+9=-7$
Step 2: Subtract 9 from both sides: $\frac{4}{5}w+9-9=-7-9$.
Step 3: $\frac{4}{5}w=-16$
Step 4: Multiply both sides by 5: $\frac{4}{5}w\times5=-16\times5$ .
Step 5: $4w=-80$
Step 6: Divide both sides by 4: $\frac{4w}{4}=\frac{-80}{4}$.
Step 7: $w=-20$