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Simplifying 3(4m + 1) + -6 = 2(3m + -4) + 2 Reorder the terms: 3(1 + 4m) + -6 = 2(3m + -4) + 2 (1 * 3 + 4m * 3) + -6 = 2(3m + -4) + 2 (3 + 12m) + -6 = 2(3m + -4) + 2 Reorder the terms: 3 + -6 + 12m = 2(3m + -4) + 2 Combine like terms: 3 + -6 = -3 -3 + 12m = 2(3m + -4) + 2 Reorder the terms: -3 + 12m = 2(-4 + 3m) + 2 -3 + 12m = (-4 * 2 + 3m * 2) + 2 -3 + 12m = (-8 + 6m) + 2 Reorder the terms: -3 + 12m = -8 + 2 + 6m Combine like terms: -8 + 2 = -6 -3 + 12m = -6 + 6m Solving -3 + 12m = -6 + 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. -3 + 12m + -6m = -6 + 6m + -6m Combine like terms: 12m + -6m = 6m -3 + 6m = -6 + 6m + -6m Combine like terms: 6m + -6m = 0 -3 + 6m = -6 + 0 -3 + 6m = -6 Add '3' to each side of the equation. -3 + 3 + 6m = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 6m = -6 + 3 6m = -6 + 3 Combine like terms: -6 + 3 = -3 6m = -3 Divide each side by '6'. m = -0.5 Simplifying m = -0.5
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