What value of w is a solution to this equation?

To solve the equation \( 9 = \frac{w}{5} + 7 \), follow these steps:

1. Subtract 7 from both sides: \[ 9 - 7 = \frac{w}{5} \] \[ 2 = \frac{w}{5} \]

2. Multiply both sides by 5 to isolate \( w \): \[ 2 \times 5 = w \] \[ w = 10 \]

Thus, the value of \( w \) that is a solution to the equation is \( \boxed{10} \).