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Simplifying 2(5m + 8) + -4(m + 7) = 0 Reorder the terms: 2(8 + 5m) + -4(m + 7) = 0 (8 * 2 + 5m * 2) + -4(m + 7) = 0 (16 + 10m) + -4(m + 7) = 0 Reorder the terms: 16 + 10m + -4(7 + m) = 0 16 + 10m + (7 * -4 + m * -4) = 0 16 + 10m + (-28 + -4m) = 0 Reorder the terms: 16 + -28 + 10m + -4m = 0 Combine like terms: 16 + -28 = -12 -12 + 10m + -4m = 0 Combine like terms: 10m + -4m = 6m -12 + 6m = 0 Solving -12 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6m = 0 + 12 6m = 0 + 12 Combine like terms: 0 + 12 = 12 6m = 12 Divide each side by '6'. m = 2 Simplifying m = 2
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