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Simplifying 8 + 15r + -3 = 7r + 82 + -3r Reorder the terms: 8 + -3 + 15r = 7r + 82 + -3r Combine like terms: 8 + -3 = 5 5 + 15r = 7r + 82 + -3r Reorder the terms: 5 + 15r = 82 + 7r + -3r Combine like terms: 7r + -3r = 4r 5 + 15r = 82 + 4r Solving 5 + 15r = 82 + 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 = 82 + 4r + -4r Combine like terms: 15r + -4r = 11r 5 + 11r = 82 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + 11r = 82 + 0 5 + 11r = 82 Add '-5' to each side of the equation. 5 + -5 + 11r = 82 + -5 Combine like terms: 5 + -5 = 0 0 + 11r = 82 + -5 11r = 82 + -5 Combine like terms: 82 + -5 = 77 11r = 77 Divide each side by '11'. r = 7 Simplifying r = 7
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