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Simplifying 1 + (8r + 9r) = 2 + 8 + 8r Combine like terms: 8r + 9r = 17r 1 + (17r) = 2 + 8 + 8r 1 + (17r) = 2 + 8 + 8r Combine like terms: 2 + 8 = 10 1 + (17r) = 10 + 8r Solving 1 + (17r) = 10 + 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. 1 + (17r) + -8r = 10 + 8r + -8r Combine like terms: (17r) + -8r = 9r 1 + 9r = 10 + 8r + -8r Combine like terms: 8r + -8r = 0 1 + 9r = 10 + 0 1 + 9r = 10 Add '-1' to each side of the equation. 1 + -1 + 9r = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 9r = 10 + -1 9r = 10 + -1 Combine like terms: 10 + -1 = 9 9r = 9 Divide each side by '9'. r = 1 Simplifying r = 1
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