To simplify the expression \(2r - 3(5r - 8)\), follow these steps:
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Distribute \(-3\) into the parentheses: \[ -3(5r - 8) = -15r + 24 \]
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Now combine this with \(2r\): \[ 2r - 15r + 24 = -13r + 24 \]
So, the expression \(2r - 3(5r - 8)\) simplifies to: \[ -13r + 24 \]