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Simplifying 7(2m + -4) = 4(3m + -1) Reorder the terms: 7(-4 + 2m) = 4(3m + -1) (-4 * 7 + 2m * 7) = 4(3m + -1) (-28 + 14m) = 4(3m + -1) Reorder the terms: -28 + 14m = 4(-1 + 3m) -28 + 14m = (-1 * 4 + 3m * 4) -28 + 14m = (-4 + 12m) Solving -28 + 14m = -4 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -28 + 14m + -12m = -4 + 12m + -12m Combine like terms: 14m + -12m = 2m -28 + 2m = -4 + 12m + -12m Combine like terms: 12m + -12m = 0 -28 + 2m = -4 + 0 -28 + 2m = -4 Add '28' to each side of the equation. -28 + 28 + 2m = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 2m = -4 + 28 2m = -4 + 28 Combine like terms: -4 + 28 = 24 2m = 24 Divide each side by '2'. m = 12 Simplifying m = 12
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