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Simplifying 8 + 10r + -5 = 9r + 11 + -7r Reorder the terms: 8 + -5 + 10r = 9r + 11 + -7r Combine like terms: 8 + -5 = 3 3 + 10r = 9r + 11 + -7r Reorder the terms: 3 + 10r = 11 + 9r + -7r Combine like terms: 9r + -7r = 2r 3 + 10r = 11 + 2r Solving 3 + 10r = 11 + 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. 3 + 10r + -2r = 11 + 2r + -2r Combine like terms: 10r + -2r = 8r 3 + 8r = 11 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 8r = 11 + 0 3 + 8r = 11 Add '-3' to each side of the equation. 3 + -3 + 8r = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 8r = 11 + -3 8r = 11 + -3 Combine like terms: 11 + -3 = 8 8r = 8 Divide each side by '8'. r = 1 Simplifying r = 1
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