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