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Simplifying 3(m + 2) + -2(1 + -5m) = 12(m + -1) + 8 Reorder the terms: 3(2 + m) + -2(1 + -5m) = 12(m + -1) + 8 (2 * 3 + m * 3) + -2(1 + -5m) = 12(m + -1) + 8 (6 + 3m) + -2(1 + -5m) = 12(m + -1) + 8 6 + 3m + (1 * -2 + -5m * -2) = 12(m + -1) + 8 6 + 3m + (-2 + 10m) = 12(m + -1) + 8 Reorder the terms: 6 + -2 + 3m + 10m = 12(m + -1) + 8 Combine like terms: 6 + -2 = 4 4 + 3m + 10m = 12(m + -1) + 8 Combine like terms: 3m + 10m = 13m 4 + 13m = 12(m + -1) + 8 Reorder the terms: 4 + 13m = 12(-1 + m) + 8 4 + 13m = (-1 * 12 + m * 12) + 8 4 + 13m = (-12 + 12m) + 8 Reorder the terms: 4 + 13m = -12 + 8 + 12m Combine like terms: -12 + 8 = -4 4 + 13m = -4 + 12m Solving 4 + 13m = -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. 4 + 13m + -12m = -4 + 12m + -12m Combine like terms: 13m + -12m = 1m 4 + 1m = -4 + 12m + -12m Combine like terms: 12m + -12m = 0 4 + 1m = -4 + 0 4 + 1m = -4 Add '-4' to each side of the equation. 4 + -4 + 1m = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 1m = -4 + -4 1m = -4 + -4 Combine like terms: -4 + -4 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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