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Simplifying 2(6 + -4m) + 3(1 + -1m) = -8m + -6m (6 * 2 + -4m * 2) + 3(1 + -1m) = -8m + -6m (12 + -8m) + 3(1 + -1m) = -8m + -6m 12 + -8m + (1 * 3 + -1m * 3) = -8m + -6m 12 + -8m + (3 + -3m) = -8m + -6m Reorder the terms: 12 + 3 + -8m + -3m = -8m + -6m Combine like terms: 12 + 3 = 15 15 + -8m + -3m = -8m + -6m Combine like terms: -8m + -3m = -11m 15 + -11m = -8m + -6m Combine like terms: -8m + -6m = -14m 15 + -11m = -14m Solving 15 + -11m = -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. 15 + -11m + 14m = -14m + 14m Combine like terms: -11m + 14m = 3m 15 + 3m = -14m + 14m Combine like terms: -14m + 14m = 0 15 + 3m = 0 Add '-15' to each side of the equation. 15 + -15 + 3m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3m = 0 + -15 3m = 0 + -15 Combine like terms: 0 + -15 = -15 3m = -15 Divide each side by '3'. m = -5 Simplifying m = -5
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