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Simplifying 6 + 5r + -1 = 9r + 17 + -2r Reorder the terms: 6 + -1 + 5r = 9r + 17 + -2r Combine like terms: 6 + -1 = 5 5 + 5r = 9r + 17 + -2r Reorder the terms: 5 + 5r = 17 + 9r + -2r Combine like terms: 9r + -2r = 7r 5 + 5r = 17 + 7r Solving 5 + 5r = 17 + 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. 5 + 5r + -7r = 17 + 7r + -7r Combine like terms: 5r + -7r = -2r 5 + -2r = 17 + 7r + -7r Combine like terms: 7r + -7r = 0 5 + -2r = 17 + 0 5 + -2r = 17 Add '-5' to each side of the equation. 5 + -5 + -2r = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 17 + -5 -2r = 17 + -5 Combine like terms: 17 + -5 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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