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Simplifying 3 + 17r + -2 = 9r + 31 + -2r Reorder the terms: 3 + -2 + 17r = 9r + 31 + -2r Combine like terms: 3 + -2 = 1 1 + 17r = 9r + 31 + -2r Reorder the terms: 1 + 17r = 31 + 9r + -2r Combine like terms: 9r + -2r = 7r 1 + 17r = 31 + 7r Solving 1 + 17r = 31 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 1 + 17r + -7r = 31 + 7r + -7r Combine like terms: 17r + -7r = 10r 1 + 10r = 31 + 7r + -7r Combine like terms: 7r + -7r = 0 1 + 10r = 31 + 0 1 + 10r = 31 Add '-1' to each side of the equation. 1 + -1 + 10r = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 10r = 31 + -1 10r = 31 + -1 Combine like terms: 31 + -1 = 30 10r = 30 Divide each side by '10'. r = 3 Simplifying r = 3
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