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Simplifying r + 11 + 8r = 29 + 3r Reorder the terms: 11 + r + 8r = 29 + 3r Combine like terms: r + 8r = 9r 11 + 9r = 29 + 3r Solving 11 + 9r = 29 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 11 + 9r + -3r = 29 + 3r + -3r Combine like terms: 9r + -3r = 6r 11 + 6r = 29 + 3r + -3r Combine like terms: 3r + -3r = 0 11 + 6r = 29 + 0 11 + 6r = 29 Add '-11' to each side of the equation. 11 + -11 + 6r = 29 + -11 Combine like terms: 11 + -11 = 0 0 + 6r = 29 + -11 6r = 29 + -11 Combine like terms: 29 + -11 = 18 6r = 18 Divide each side by '6'. r = 3 Simplifying r = 3
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