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Simplifying 3(5r + 40) = 15(3r + -24) Reorder the terms: 3(40 + 5r) = 15(3r + -24) (40 * 3 + 5r * 3) = 15(3r + -24) (120 + 15r) = 15(3r + -24) Reorder the terms: 120 + 15r = 15(-24 + 3r) 120 + 15r = (-24 * 15 + 3r * 15) 120 + 15r = (-360 + 45r) Solving 120 + 15r = -360 + 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. 120 + 15r + -45r = -360 + 45r + -45r Combine like terms: 15r + -45r = -30r 120 + -30r = -360 + 45r + -45r Combine like terms: 45r + -45r = 0 120 + -30r = -360 + 0 120 + -30r = -360 Add '-120' to each side of the equation. 120 + -120 + -30r = -360 + -120 Combine like terms: 120 + -120 = 0 0 + -30r = -360 + -120 -30r = -360 + -120 Combine like terms: -360 + -120 = -480 -30r = -480 Divide each side by '-30'. r = 16 Simplifying r = 16
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