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