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Simplifying 10m + 15 + -1(1 + -2m) = 6(3 + 2m) + -2(3 + -1m) 10m + 15 + (1 * -1 + -2m * -1) = 6(3 + 2m) + -2(3 + -1m) 10m + 15 + (-1 + 2m) = 6(3 + 2m) + -2(3 + -1m) Reorder the terms: 15 + -1 + 10m + 2m = 6(3 + 2m) + -2(3 + -1m) Combine like terms: 15 + -1 = 14 14 + 10m + 2m = 6(3 + 2m) + -2(3 + -1m) Combine like terms: 10m + 2m = 12m 14 + 12m = 6(3 + 2m) + -2(3 + -1m) 14 + 12m = (3 * 6 + 2m * 6) + -2(3 + -1m) 14 + 12m = (18 + 12m) + -2(3 + -1m) 14 + 12m = 18 + 12m + (3 * -2 + -1m * -2) 14 + 12m = 18 + 12m + (-6 + 2m) Reorder the terms: 14 + 12m = 18 + -6 + 12m + 2m Combine like terms: 18 + -6 = 12 14 + 12m = 12 + 12m + 2m Combine like terms: 12m + 2m = 14m 14 + 12m = 12 + 14m Solving 14 + 12m = 12 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 14 + 12m + -14m = 12 + 14m + -14m Combine like terms: 12m + -14m = -2m 14 + -2m = 12 + 14m + -14m Combine like terms: 14m + -14m = 0 14 + -2m = 12 + 0 14 + -2m = 12 Add '-14' to each side of the equation. 14 + -14 + -2m = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -2m = 12 + -14 -2m = 12 + -14 Combine like terms: 12 + -14 = -2 -2m = -2 Divide each side by '-2'. m = 1 Simplifying m = 1
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