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Simplifying 7 + 15r + -2 = 8r + 60 + -4r Reorder the terms: 7 + -2 + 15r = 8r + 60 + -4r Combine like terms: 7 + -2 = 5 5 + 15r = 8r + 60 + -4r Reorder the terms: 5 + 15r = 60 + 8r + -4r Combine like terms: 8r + -4r = 4r 5 + 15r = 60 + 4r Solving 5 + 15r = 60 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 5 + 15r + -4r = 60 + 4r + -4r Combine like terms: 15r + -4r = 11r 5 + 11r = 60 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + 11r = 60 + 0 5 + 11r = 60 Add '-5' to each side of the equation. 5 + -5 + 11r = 60 + -5 Combine like terms: 5 + -5 = 0 0 + 11r = 60 + -5 11r = 60 + -5 Combine like terms: 60 + -5 = 55 11r = 55 Divide each side by '11'. r = 5 Simplifying r = 5
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