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Simplifying 2(3m + 2) + 3(4m + 2) = 0 Reorder the terms: 2(2 + 3m) + 3(4m + 2) = 0 (2 * 2 + 3m * 2) + 3(4m + 2) = 0 (4 + 6m) + 3(4m + 2) = 0 Reorder the terms: 4 + 6m + 3(2 + 4m) = 0 4 + 6m + (2 * 3 + 4m * 3) = 0 4 + 6m + (6 + 12m) = 0 Reorder the terms: 4 + 6 + 6m + 12m = 0 Combine like terms: 4 + 6 = 10 10 + 6m + 12m = 0 Combine like terms: 6m + 12m = 18m 10 + 18m = 0 Solving 10 + 18m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 18m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 18m = 0 + -10 18m = 0 + -10 Combine like terms: 0 + -10 = -10 18m = -10 Divide each side by '18'. m = -0.5555555556 Simplifying m = -0.5555555556
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