To simplify the expression \(-r + 8(-5r - 2)\), follow these steps:
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Distribute the \(8\) across the terms in the parentheses: \[ 8(-5r) = -40r \] \[ 8(-2) = -16 \] So, \(8(-5r - 2)\) becomes: \[ -40r - 16 \]
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Now, substitute this back into the original expression: \[ -r + (-40r - 16) \]
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Combine like terms: \[ -r - 40r - 16 = -41r - 16 \]
Thus, the simplified expression is: \[ \boxed{-41r - 16} \]
Since there are no specific options (A, B, C, D) provided, please compare this result with your available choices for the correct answer.