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Simplifying 4(3m + -1) = 2(5m + 7) Reorder the terms: 4(-1 + 3m) = 2(5m + 7) (-1 * 4 + 3m * 4) = 2(5m + 7) (-4 + 12m) = 2(5m + 7) Reorder the terms: -4 + 12m = 2(7 + 5m) -4 + 12m = (7 * 2 + 5m * 2) -4 + 12m = (14 + 10m) Solving -4 + 12m = 14 + 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. -4 + 12m + -10m = 14 + 10m + -10m Combine like terms: 12m + -10m = 2m -4 + 2m = 14 + 10m + -10m Combine like terms: 10m + -10m = 0 -4 + 2m = 14 + 0 -4 + 2m = 14 Add '4' to each side of the equation. -4 + 4 + 2m = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 2m = 14 + 4 2m = 14 + 4 Combine like terms: 14 + 4 = 18 2m = 18 Divide each side by '2'. m = 9 Simplifying m = 9
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