To expand the expression \( 8(3p + 2) \), you distribute the 8 to both terms inside the parentheses:
\[ 8(3p) + 8(2) \]
Calculating each part:
\[ 8 \times 3p = 24p \] \[ 8 \times 2 = 16 \]
Now, combine the results:
\[ 24p + 16 \]
Thus, the expanded expression is:
\[ \boxed{24p + 16} \]