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Simplifying 8(3r + 12) = 9(3r + -1) Reorder the terms: 8(12 + 3r) = 9(3r + -1) (12 * 8 + 3r * 8) = 9(3r + -1) (96 + 24r) = 9(3r + -1) Reorder the terms: 96 + 24r = 9(-1 + 3r) 96 + 24r = (-1 * 9 + 3r * 9) 96 + 24r = (-9 + 27r) Solving 96 + 24r = -9 + 27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27r' to each side of the equation. 96 + 24r + -27r = -9 + 27r + -27r Combine like terms: 24r + -27r = -3r 96 + -3r = -9 + 27r + -27r Combine like terms: 27r + -27r = 0 96 + -3r = -9 + 0 96 + -3r = -9 Add '-96' to each side of the equation. 96 + -96 + -3r = -9 + -96 Combine like terms: 96 + -96 = 0 0 + -3r = -9 + -96 -3r = -9 + -96 Combine like terms: -9 + -96 = -105 -3r = -105 Divide each side by '-3'. r = 35 Simplifying r = 35
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