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Simplifying 4(7m + -1) + 3(2 + -5m) = 4(3m + 5) + -6 Reorder the terms: 4(-1 + 7m) + 3(2 + -5m) = 4(3m + 5) + -6 (-1 * 4 + 7m * 4) + 3(2 + -5m) = 4(3m + 5) + -6 (-4 + 28m) + 3(2 + -5m) = 4(3m + 5) + -6 -4 + 28m + (2 * 3 + -5m * 3) = 4(3m + 5) + -6 -4 + 28m + (6 + -15m) = 4(3m + 5) + -6 Reorder the terms: -4 + 6 + 28m + -15m = 4(3m + 5) + -6 Combine like terms: -4 + 6 = 2 2 + 28m + -15m = 4(3m + 5) + -6 Combine like terms: 28m + -15m = 13m 2 + 13m = 4(3m + 5) + -6 Reorder the terms: 2 + 13m = 4(5 + 3m) + -6 2 + 13m = (5 * 4 + 3m * 4) + -6 2 + 13m = (20 + 12m) + -6 Reorder the terms: 2 + 13m = 20 + -6 + 12m Combine like terms: 20 + -6 = 14 2 + 13m = 14 + 12m Solving 2 + 13m = 14 + 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. 2 + 13m + -12m = 14 + 12m + -12m Combine like terms: 13m + -12m = 1m 2 + 1m = 14 + 12m + -12m Combine like terms: 12m + -12m = 0 2 + 1m = 14 + 0 2 + 1m = 14 Add '-2' to each side of the equation. 2 + -2 + 1m = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 1m = 14 + -2 1m = 14 + -2 Combine like terms: 14 + -2 = 12 1m = 12 Divide each side by '1'. m = 12 Simplifying m = 12
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