To expand the expression \( 13(q - 6) \) using the Distributive Property, you multiply \( 13 \) by each term inside the parentheses.
\[ 13(q - 6) = 13 \cdot q - 13 \cdot 6 \]
Calculating that gives:
\[ 13q - 78 \]
None of the provided responses match this result, so it seems there might be a misunderstanding or miscommunication regarding the options. The correct expanded form is \( 13q - 78 \).