To expand the expression \(-5(2q + 8)\), you need to multiply \(-5\) by each term inside the parentheses:
\[ -5 \cdot 2q + (-5) \cdot 8 \]
Calculating each part:
- \(-5 \cdot 2q = -10q\)
- \(-5 \cdot 8 = -40\)
Now, combine these results:
\[ -10q - 40 \]
So the expanded expression is:
\[ -10q - 40 \]