To solve the equation \( 17p - 10p = 119 \), first combine the \( p \) terms on the left side:
\[ (17p - 10p) = 7p \]
So the equation simplifies to:
\[ 7p = 119 \]
Next, divide both sides by 7 to solve for \( p \):
\[ p = \frac{119}{7} = 17 \]
Thus, the solution is:
\[ p = 17 \]