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Simplifying 5(3r + 12) = 6(5r + -15) Reorder the terms: 5(12 + 3r) = 6(5r + -15) (12 * 5 + 3r * 5) = 6(5r + -15) (60 + 15r) = 6(5r + -15) Reorder the terms: 60 + 15r = 6(-15 + 5r) 60 + 15r = (-15 * 6 + 5r * 6) 60 + 15r = (-90 + 30r) Solving 60 + 15r = -90 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 60 + 15r + -30r = -90 + 30r + -30r Combine like terms: 15r + -30r = -15r 60 + -15r = -90 + 30r + -30r Combine like terms: 30r + -30r = 0 60 + -15r = -90 + 0 60 + -15r = -90 Add '-60' to each side of the equation. 60 + -60 + -15r = -90 + -60 Combine like terms: 60 + -60 = 0 0 + -15r = -90 + -60 -15r = -90 + -60 Combine like terms: -90 + -60 = -150 -15r = -150 Divide each side by '-15'. r = 10 Simplifying r = 10
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