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Simplifying 2(1 + -1m) + 3(m + 4) = 2m + -8m (1 * 2 + -1m * 2) + 3(m + 4) = 2m + -8m (2 + -2m) + 3(m + 4) = 2m + -8m Reorder the terms: 2 + -2m + 3(4 + m) = 2m + -8m 2 + -2m + (4 * 3 + m * 3) = 2m + -8m 2 + -2m + (12 + 3m) = 2m + -8m Reorder the terms: 2 + 12 + -2m + 3m = 2m + -8m Combine like terms: 2 + 12 = 14 14 + -2m + 3m = 2m + -8m Combine like terms: -2m + 3m = 1m 14 + 1m = 2m + -8m Combine like terms: 2m + -8m = -6m 14 + 1m = -6m Solving 14 + 1m = -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 14 + 1m + 6m = -6m + 6m Combine like terms: 1m + 6m = 7m 14 + 7m = -6m + 6m Combine like terms: -6m + 6m = 0 14 + 7m = 0 Add '-14' to each side of the equation. 14 + -14 + 7m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7m = 0 + -14 7m = 0 + -14 Combine like terms: 0 + -14 = -14 7m = -14 Divide each side by '7'. m = -2 Simplifying m = -2
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