To expand the expression \(-5(2q + 8)\), you distribute \(-5\) to each term inside the parentheses. Here's how it's done:
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Multiply \(-5\) by \(2q\): \[ -5 \times 2q = -10q \]
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Multiply \(-5\) by \(8\): \[ -5 \times 8 = -40 \]
Now, combining both results: \[ -10q - 40 \]
Thus, the expanded form of the expression is: \[ -10q - 40 \]