To expand \( 13(q - 6) \) using the Distributive Property, you multiply \( 13 \) by each term inside the parentheses:
\[ 13(q - 6) = 13 \cdot q - 13 \cdot 6 \]
Calculating each term:
\[ = 13q - 78 \]
Thus, the correct expansion is:
\( 13q - 78 \)
Since none of the provided response options match this answer directly, it seems there might have been an error in the provided choices. The correct expansion according to the Distributive Property is \( 13q - 78 \).