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Simplifying 5r + -44r + 120 = -30 + 11r Reorder the terms: 120 + 5r + -44r = -30 + 11r Combine like terms: 5r + -44r = -39r 120 + -39r = -30 + 11r Solving 120 + -39r = -30 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. 120 + -39r + -11r = -30 + 11r + -11r Combine like terms: -39r + -11r = -50r 120 + -50r = -30 + 11r + -11r Combine like terms: 11r + -11r = 0 120 + -50r = -30 + 0 120 + -50r = -30 Add '-120' to each side of the equation. 120 + -120 + -50r = -30 + -120 Combine like terms: 120 + -120 = 0 0 + -50r = -30 + -120 -50r = -30 + -120 Combine like terms: -30 + -120 = -150 -50r = -150 Divide each side by '-50'. r = 3 Simplifying r = 3
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