To rewrite the expression \( 8(4g + 2) \) using the distributive property, you multiply the \( 8 \) by each term inside the parentheses:
\[ 8(4g) + 8(2) \]
Now, perform the multiplication:
\[ 32g + 16 \]
So, the equivalent expression is:
\[ 32g + 16 \]