To expand the expression \(-5(2q + 8)\), you distribute \(-5\) to both terms inside the parentheses:
\[ -5(2q) + (-5)(8) \]
Now calculate each part:
\[ -5 \cdot 2q = -10q \] \[ -5 \cdot 8 = -40 \]
Putting it all together, the expanded expression is:
\[ -10q - 40 \]
So, the final answer is:
\[ -10q - 40 \]