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Simplifying -9 + 7r = 8 + 1 + r Combine like terms: 8 + 1 = 9 -9 + 7r = 9 + r Solving -9 + 7r = 9 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -9 + 7r + -1r = 9 + r + -1r Combine like terms: 7r + -1r = 6r -9 + 6r = 9 + r + -1r Combine like terms: r + -1r = 0 -9 + 6r = 9 + 0 -9 + 6r = 9 Add '9' to each side of the equation. -9 + 9 + 6r = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 6r = 9 + 9 6r = 9 + 9 Combine like terms: 9 + 9 = 18 6r = 18 Divide each side by '6'. r = 3 Simplifying r = 3
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