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To expand the expression \(-5(2q + 8)\), you distribute \(-5\) to both terms inside the parentheses:
\[
-5(2q) + (-5)(8)
\]
Calculating each term:
1. \(-5 \times 2q = -10q\)
2. \(-5 \times 8 = -40\)
Putting it all together, you get:
\[
-10q - 40
\]
So, \(-5(2q + 8)\) expands to \(-10q - 40\).