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Simplifying 5(3r + 12) = 9(5r + -20) Reorder the terms: 5(12 + 3r) = 9(5r + -20) (12 * 5 + 3r * 5) = 9(5r + -20) (60 + 15r) = 9(5r + -20) Reorder the terms: 60 + 15r = 9(-20 + 5r) 60 + 15r = (-20 * 9 + 5r * 9) 60 + 15r = (-180 + 45r) Solving 60 + 15r = -180 + 45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45r' to each side of the equation. 60 + 15r + -45r = -180 + 45r + -45r Combine like terms: 15r + -45r = -30r 60 + -30r = -180 + 45r + -45r Combine like terms: 45r + -45r = 0 60 + -30r = -180 + 0 60 + -30r = -180 Add '-60' to each side of the equation. 60 + -60 + -30r = -180 + -60 Combine like terms: 60 + -60 = 0 0 + -30r = -180 + -60 -30r = -180 + -60 Combine like terms: -180 + -60 = -240 -30r = -240 Divide each side by '-30'. r = 8 Simplifying r = 8
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