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Simplifying 269 = 5(9r + -9) + -1 Reorder the terms: 269 = 5(-9 + 9r) + -1 269 = (-9 * 5 + 9r * 5) + -1 269 = (-45 + 45r) + -1 Reorder the terms: 269 = -45 + -1 + 45r Combine like terms: -45 + -1 = -46 269 = -46 + 45r Solving 269 = -46 + 45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45r' to each side of the equation. 269 + -45r = -46 + 45r + -45r Combine like terms: 45r + -45r = 0 269 + -45r = -46 + 0 269 + -45r = -46 Add '-269' to each side of the equation. 269 + -269 + -45r = -46 + -269 Combine like terms: 269 + -269 = 0 0 + -45r = -46 + -269 -45r = -46 + -269 Combine like terms: -46 + -269 = -315 -45r = -315 Divide each side by '-45'. r = 7 Simplifying r = 7
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