We are asked to solve the equation $8 = \frac{9 + w}{4}$ for $w$.

1. Problem Description

We are asked to solve the equation $8 = \frac{9 + w}{4}$ for $w$.

2. Solution Steps

To solve the equation $8 = \frac{9 + w}{4}$, we need to isolate $w$.

First, multiply both sides of the equation by 4:

$8 \times 4 = \frac{9 + w}{4} \times 4$

$32 = 9 + w$

Next, subtract 9 from both sides of the equation:

$32 - 9 = 9 + w - 9$

$23 = w$

So, $w = 23$.

3. Final Answer

$w = 23$