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Simplifying -3(1 + 8r) = 117 (1 * -3 + 8r * -3) = 117 (-3 + -24r) = 117 Solving -3 + -24r = 117 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -24r = 117 + 3 Combine like terms: -3 + 3 = 0 0 + -24r = 117 + 3 -24r = 117 + 3 Combine like terms: 117 + 3 = 120 -24r = 120 Divide each side by '-24'. r = -5 Simplifying r = -5
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