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Simplifying 5(2 + 4m) + 3(1 + 4m) = 0 (2 * 5 + 4m * 5) + 3(1 + 4m) = 0 (10 + 20m) + 3(1 + 4m) = 0 10 + 20m + (1 * 3 + 4m * 3) = 0 10 + 20m + (3 + 12m) = 0 Reorder the terms: 10 + 3 + 20m + 12m = 0 Combine like terms: 10 + 3 = 13 13 + 20m + 12m = 0 Combine like terms: 20m + 12m = 32m 13 + 32m = 0 Solving 13 + 32m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 32m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 32m = 0 + -13 32m = 0 + -13 Combine like terms: 0 + -13 = -13 32m = -13 Divide each side by '32'. m = -0.40625 Simplifying m = -0.40625
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