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Simplifying 15(3r + 9) = 12(4r + -1) Reorder the terms: 15(9 + 3r) = 12(4r + -1) (9 * 15 + 3r * 15) = 12(4r + -1) (135 + 45r) = 12(4r + -1) Reorder the terms: 135 + 45r = 12(-1 + 4r) 135 + 45r = (-1 * 12 + 4r * 12) 135 + 45r = (-12 + 48r) Solving 135 + 45r = -12 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. 135 + 45r + -48r = -12 + 48r + -48r Combine like terms: 45r + -48r = -3r 135 + -3r = -12 + 48r + -48r Combine like terms: 48r + -48r = 0 135 + -3r = -12 + 0 135 + -3r = -12 Add '-135' to each side of the equation. 135 + -135 + -3r = -12 + -135 Combine like terms: 135 + -135 = 0 0 + -3r = -12 + -135 -3r = -12 + -135 Combine like terms: -12 + -135 = -147 -3r = -147 Divide each side by '-3'. r = 49 Simplifying r = 49
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