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Simplifying 8 + 5r + -7 = 9r + 9 + -6r Reorder the terms: 8 + -7 + 5r = 9r + 9 + -6r Combine like terms: 8 + -7 = 1 1 + 5r = 9r + 9 + -6r Reorder the terms: 1 + 5r = 9 + 9r + -6r Combine like terms: 9r + -6r = 3r 1 + 5r = 9 + 3r Solving 1 + 5r = 9 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 1 + 5r + -3r = 9 + 3r + -3r Combine like terms: 5r + -3r = 2r 1 + 2r = 9 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 2r = 9 + 0 1 + 2r = 9 Add '-1' to each side of the equation. 1 + -1 + 2r = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 9 + -1 2r = 9 + -1 Combine like terms: 9 + -1 = 8 2r = 8 Divide each side by '2'. r = 4 Simplifying r = 4
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