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Simplifying 2(5r + 30) = 15(2r + -4) Reorder the terms: 2(30 + 5r) = 15(2r + -4) (30 * 2 + 5r * 2) = 15(2r + -4) (60 + 10r) = 15(2r + -4) Reorder the terms: 60 + 10r = 15(-4 + 2r) 60 + 10r = (-4 * 15 + 2r * 15) 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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