To solve the equation \( 17q - 6q + q - 9q = 15 \), we can first combine like terms.
Start by combining the coefficients of \( q \):
\[ 17q - 6q + q - 9q \]
Calculating this step-by-step:
- \( 17q - 6q = 11q \)
- \( 11q + q = 12q \)
- \( 12q - 9q = 3q \)
So we have:
\[ 3q = 15 \]
Next, we solve for \( q \) by dividing both sides of the equation by 3:
\[ q = \frac{15}{3} = 5 \]
Thus, the solution is:
\[ q = 5 \]