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Simplifying 6 + 12r + -5 = 9r + 71 + -7r Reorder the terms: 6 + -5 + 12r = 9r + 71 + -7r Combine like terms: 6 + -5 = 1 1 + 12r = 9r + 71 + -7r Reorder the terms: 1 + 12r = 71 + 9r + -7r Combine like terms: 9r + -7r = 2r 1 + 12r = 71 + 2r Solving 1 + 12r = 71 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 1 + 12r + -2r = 71 + 2r + -2r Combine like terms: 12r + -2r = 10r 1 + 10r = 71 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 10r = 71 + 0 1 + 10r = 71 Add '-1' to each side of the equation. 1 + -1 + 10r = 71 + -1 Combine like terms: 1 + -1 = 0 0 + 10r = 71 + -1 10r = 71 + -1 Combine like terms: 71 + -1 = 70 10r = 70 Divide each side by '10'. r = 7 Simplifying r = 7
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