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Simplifying 2(5m + 4) + -3(m + -4) = 0 Reorder the terms: 2(4 + 5m) + -3(m + -4) = 0 (4 * 2 + 5m * 2) + -3(m + -4) = 0 (8 + 10m) + -3(m + -4) = 0 Reorder the terms: 8 + 10m + -3(-4 + m) = 0 8 + 10m + (-4 * -3 + m * -3) = 0 8 + 10m + (12 + -3m) = 0 Reorder the terms: 8 + 12 + 10m + -3m = 0 Combine like terms: 8 + 12 = 20 20 + 10m + -3m = 0 Combine like terms: 10m + -3m = 7m 20 + 7m = 0 Solving 20 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7m = 0 + -20 7m = 0 + -20 Combine like terms: 0 + -20 = -20 7m = -20 Divide each side by '7'. m = -2.857142857 Simplifying m = -2.857142857
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