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Simplifying 3(-9m + 9) = 5(-1m + 45) Reorder the terms: 3(9 + -9m) = 5(-1m + 45) (9 * 3 + -9m * 3) = 5(-1m + 45) (27 + -27m) = 5(-1m + 45) Reorder the terms: 27 + -27m = 5(45 + -1m) 27 + -27m = (45 * 5 + -1m * 5) 27 + -27m = (225 + -5m) Solving 27 + -27m = 225 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 27 + -27m + 5m = 225 + -5m + 5m Combine like terms: -27m + 5m = -22m 27 + -22m = 225 + -5m + 5m Combine like terms: -5m + 5m = 0 27 + -22m = 225 + 0 27 + -22m = 225 Add '-27' to each side of the equation. 27 + -27 + -22m = 225 + -27 Combine like terms: 27 + -27 = 0 0 + -22m = 225 + -27 -22m = 225 + -27 Combine like terms: 225 + -27 = 198 -22m = 198 Divide each side by '-22'. m = -9 Simplifying m = -9
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