To solve the equation \( 11 = \frac{w}{2} - 8 \), we can follow these steps:
- Add 8 to both sides of the equation:
\[ 11 + 8 = \frac{w}{2} \]
\[ 19 = \frac{w}{2} \]
- Now, to solve for \( w \), multiply both sides by 2:
\[ 19 \times 2 = w \]
\[ w = 38 \]
So, the solution is:
\[ w = 38 \]