To use the distributive property to write an equivalent expression for \( 2(8u + 2) \), we can distribute the \( 2 \) to both terms inside the parentheses.
Here's how it works:
\[ 2(8u + 2) = 2 \cdot 8u + 2 \cdot 2 \]
Calculating each term:
\[ 2 \cdot 8u = 16u \] \[ 2 \cdot 2 = 4 \]
Now, we can combine these results:
\[ 2(8u + 2) = 16u + 4 \]
So, the equivalent expression is:
\[ \boxed{16u + 4} \]