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Simplifying 117 = 3(r + 9) + 3r Reorder the terms: 117 = 3(9 + r) + 3r 117 = (9 * 3 + r * 3) + 3r 117 = (27 + 3r) + 3r Combine like terms: 3r + 3r = 6r 117 = 27 + 6r Solving 117 = 27 + 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. 117 + -6r = 27 + 6r + -6r Combine like terms: 6r + -6r = 0 117 + -6r = 27 + 0 117 + -6r = 27 Add '-117' to each side of the equation. 117 + -117 + -6r = 27 + -117 Combine like terms: 117 + -117 = 0 0 + -6r = 27 + -117 -6r = 27 + -117 Combine like terms: 27 + -117 = -90 -6r = -90 Divide each side by '-6'. r = 15 Simplifying r = 15
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