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Simplifying -7(8r + 5) = -427 Reorder the terms: -7(5 + 8r) = -427 (5 * -7 + 8r * -7) = -427 (-35 + -56r) = -427 Solving -35 + -56r = -427 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -56r = -427 + 35 Combine like terms: -35 + 35 = 0 0 + -56r = -427 + 35 -56r = -427 + 35 Combine like terms: -427 + 35 = -392 -56r = -392 Divide each side by '-56'. r = 7 Simplifying r = 7
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