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Simplifying 8r + -5r + 9 = 7r + -1r Reorder the terms: 9 + 8r + -5r = 7r + -1r Combine like terms: 8r + -5r = 3r 9 + 3r = 7r + -1r Combine like terms: 7r + -1r = 6r 9 + 3r = 6r Solving 9 + 3r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 9 + 3r + -6r = 6r + -6r Combine like terms: 3r + -6r = -3r 9 + -3r = 6r + -6r Combine like terms: 6r + -6r = 0 9 + -3r = 0 Add '-9' to each side of the equation. 9 + -9 + -3r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3r = 0 + -9 -3r = 0 + -9 Combine like terms: 0 + -9 = -9 -3r = -9 Divide each side by '-3'. r = 3 Simplifying r = 3
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