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Simplifying 2(5m + 8) + -3(m + -4) = 0 Reorder the terms: 2(8 + 5m) + -3(m + -4) = 0 (8 * 2 + 5m * 2) + -3(m + -4) = 0 (16 + 10m) + -3(m + -4) = 0 Reorder the terms: 16 + 10m + -3(-4 + m) = 0 16 + 10m + (-4 * -3 + m * -3) = 0 16 + 10m + (12 + -3m) = 0 Reorder the terms: 16 + 12 + 10m + -3m = 0 Combine like terms: 16 + 12 = 28 28 + 10m + -3m = 0 Combine like terms: 10m + -3m = 7m 28 + 7m = 0 Solving 28 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7m = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7m = 0 + -28 7m = 0 + -28 Combine like terms: 0 + -28 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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