To expand the expression \(-5(2q + 8)\), you distribute \(-5\) to both terms inside the parentheses:
\[ -5(2q) + (-5)(8) \]
Calculating each term:
- \(-5 \times 2q = -10q\)
- \(-5 \times 8 = -40\)
Putting it all together, you get:
\[ -10q - 40 \]
So, \(-5(2q + 8)\) expands to \(-10q - 40\).