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Simplifying 3(4m + -9) = 5(2m + -5) Reorder the terms: 3(-9 + 4m) = 5(2m + -5) (-9 * 3 + 4m * 3) = 5(2m + -5) (-27 + 12m) = 5(2m + -5) Reorder the terms: -27 + 12m = 5(-5 + 2m) -27 + 12m = (-5 * 5 + 2m * 5) -27 + 12m = (-25 + 10m) Solving -27 + 12m = -25 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -27 + 12m + -10m = -25 + 10m + -10m Combine like terms: 12m + -10m = 2m -27 + 2m = -25 + 10m + -10m Combine like terms: 10m + -10m = 0 -27 + 2m = -25 + 0 -27 + 2m = -25 Add '27' to each side of the equation. -27 + 27 + 2m = -25 + 27 Combine like terms: -27 + 27 = 0 0 + 2m = -25 + 27 2m = -25 + 27 Combine like terms: -25 + 27 = 2 2m = 2 Divide each side by '2'. m = 1 Simplifying m = 1
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