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Simplifying 10r + 60 = 40r + -120 Reorder the terms: 60 + 10r = 40r + -120 Reorder the terms: 60 + 10r = -120 + 40r Solving 60 + 10r = -120 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 60 + 10r + -40r = -120 + 40r + -40r Combine like terms: 10r + -40r = -30r 60 + -30r = -120 + 40r + -40r Combine like terms: 40r + -40r = 0 60 + -30r = -120 + 0 60 + -30r = -120 Add '-60' to each side of the equation. 60 + -60 + -30r = -120 + -60 Combine like terms: 60 + -60 = 0 0 + -30r = -120 + -60 -30r = -120 + -60 Combine like terms: -120 + -60 = -180 -30r = -180 Divide each side by '-30'. r = 6 Simplifying r = 6
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