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Simplifying 8 + 2r + -2 = 9r + 13 + -6r Reorder the terms: 8 + -2 + 2r = 9r + 13 + -6r Combine like terms: 8 + -2 = 6 6 + 2r = 9r + 13 + -6r Reorder the terms: 6 + 2r = 13 + 9r + -6r Combine like terms: 9r + -6r = 3r 6 + 2r = 13 + 3r Solving 6 + 2r = 13 + 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. 6 + 2r + -3r = 13 + 3r + -3r Combine like terms: 2r + -3r = -1r 6 + -1r = 13 + 3r + -3r Combine like terms: 3r + -3r = 0 6 + -1r = 13 + 0 6 + -1r = 13 Add '-6' to each side of the equation. 6 + -6 + -1r = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 13 + -6 -1r = 13 + -6 Combine like terms: 13 + -6 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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