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Simplifying r + 1 = 10 + -8r Reorder the terms: 1 + r = 10 + -8r Solving 1 + r = 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 + r + 8r = 10 + -8r + 8r Combine like terms: r + 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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