To expand the expression \(8(3p + 2)\), you distribute the 8 to each term inside the parentheses:
\[ 8(3p) + 8(2) \]
Calculating each part:
\[ 8(3p) = 24p \] \[ 8(2) = 16 \]
Combining these results, we get:
\[ 24p + 16 \]
Thus, the expanded form of \(8(3p + 2)\) is:
\[ \boxed{24p + 16} \]