To simplify the expression \( \frac{10p}{p-q} + \frac{3p}{p-q} \), we notice that both fractions have the same denominator, which is \( p - q \).
We can combine the fractions:
\[ \frac{10p}{p-q} + \frac{3p}{p-q} = \frac{10p + 3p}{p-q} \]
Now, we can combine the numerators:
\[ 10p + 3p = 13p \]
Now, substitute this back into the expression:
\[ \frac{13p}{p-q} \]
Thus, the simplified expression is:
\[ \frac{13p}{p-q} \]