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Simplifying -117 = 3(-8r + 8) + 3 Reorder the terms: -117 = 3(8 + -8r) + 3 -117 = (8 * 3 + -8r * 3) + 3 -117 = (24 + -24r) + 3 Reorder the terms: -117 = 24 + 3 + -24r Combine like terms: 24 + 3 = 27 -117 = 27 + -24r Solving -117 = 27 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -117 + 24r = 27 + -24r + 24r Combine like terms: -24r + 24r = 0 -117 + 24r = 27 + 0 -117 + 24r = 27 Add '117' to each side of the equation. -117 + 117 + 24r = 27 + 117 Combine like terms: -117 + 117 = 0 0 + 24r = 27 + 117 24r = 27 + 117 Combine like terms: 27 + 117 = 144 24r = 144 Divide each side by '24'. r = 6 Simplifying r = 6
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