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Simplifying 3 + 5r + -1 = 8r + 9 + -2r Reorder the terms: 3 + -1 + 5r = 8r + 9 + -2r Combine like terms: 3 + -1 = 2 2 + 5r = 8r + 9 + -2r Reorder the terms: 2 + 5r = 9 + 8r + -2r Combine like terms: 8r + -2r = 6r 2 + 5r = 9 + 6r Solving 2 + 5r = 9 + 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. 2 + 5r + -6r = 9 + 6r + -6r Combine like terms: 5r + -6r = -1r 2 + -1r = 9 + 6r + -6r Combine like terms: 6r + -6r = 0 2 + -1r = 9 + 0 2 + -1r = 9 Add '-2' to each side of the equation. 2 + -2 + -1r = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 9 + -2 -1r = 9 + -2 Combine like terms: 9 + -2 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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