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Simplifying 5(2r + 12) = 6(5r + -10) Reorder the terms: 5(12 + 2r) = 6(5r + -10) (12 * 5 + 2r * 5) = 6(5r + -10) (60 + 10r) = 6(5r + -10) Reorder the terms: 60 + 10r = 6(-10 + 5r) 60 + 10r = (-10 * 6 + 5r * 6) 60 + 10r = (-60 + 30r) Solving 60 + 10r = -60 + 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 + 10r + -30r = -60 + 30r + -30r Combine like terms: 10r + -30r = -20r 60 + -20r = -60 + 30r + -30r Combine like terms: 30r + -30r = 0 60 + -20r = -60 + 0 60 + -20r = -60 Add '-60' to each side of the equation. 60 + -60 + -20r = -60 + -60 Combine like terms: 60 + -60 = 0 0 + -20r = -60 + -60 -20r = -60 + -60 Combine like terms: -60 + -60 = -120 -20r = -120 Divide each side by '-20'. r = 6 Simplifying r = 6
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