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Simplifying r + 11 + 8r = 29 + 7r Reorder the terms: 11 + r + 8r = 29 + 7r Combine like terms: r + 8r = 9r 11 + 9r = 29 + 7r Solving 11 + 9r = 29 + 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. 11 + 9r + -7r = 29 + 7r + -7r Combine like terms: 9r + -7r = 2r 11 + 2r = 29 + 7r + -7r Combine like terms: 7r + -7r = 0 11 + 2r = 29 + 0 11 + 2r = 29 Add '-11' to each side of the equation. 11 + -11 + 2r = 29 + -11 Combine like terms: 11 + -11 = 0 0 + 2r = 29 + -11 2r = 29 + -11 Combine like terms: 29 + -11 = 18 2r = 18 Divide each side by '2'. r = 9 Simplifying r = 9
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