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Simplifying r + 11 = -8r + 29 Reorder the terms: 11 + r = -8r + 29 Reorder the terms: 11 + r = 29 + -8r Solving 11 + r = 29 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 11 + r + 8r = 29 + -8r + 8r Combine like terms: r + 8r = 9r 11 + 9r = 29 + -8r + 8r Combine like terms: -8r + 8r = 0 11 + 9r = 29 + 0 11 + 9r = 29 Add '-11' to each side of the equation. 11 + -11 + 9r = 29 + -11 Combine like terms: 11 + -11 = 0 0 + 9r = 29 + -11 9r = 29 + -11 Combine like terms: 29 + -11 = 18 9r = 18 Divide each side by '9'. r = 2 Simplifying r = 2
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