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Simplifying 9r = 9(3r + 13) + -9 Reorder the terms: 9r = 9(13 + 3r) + -9 9r = (13 * 9 + 3r * 9) + -9 9r = (117 + 27r) + -9 Reorder the terms: 9r = 117 + -9 + 27r Combine like terms: 117 + -9 = 108 9r = 108 + 27r Solving 9r = 108 + 27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27r' to each side of the equation. 9r + -27r = 108 + 27r + -27r Combine like terms: 9r + -27r = -18r -18r = 108 + 27r + -27r Combine like terms: 27r + -27r = 0 -18r = 108 + 0 -18r = 108 Divide each side by '-18'. r = -6 Simplifying r = -6
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