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Simplifying 2(5m + 9) + -4(m + -8) = 0 Reorder the terms: 2(9 + 5m) + -4(m + -8) = 0 (9 * 2 + 5m * 2) + -4(m + -8) = 0 (18 + 10m) + -4(m + -8) = 0 Reorder the terms: 18 + 10m + -4(-8 + m) = 0 18 + 10m + (-8 * -4 + m * -4) = 0 18 + 10m + (32 + -4m) = 0 Reorder the terms: 18 + 32 + 10m + -4m = 0 Combine like terms: 18 + 32 = 50 50 + 10m + -4m = 0 Combine like terms: 10m + -4m = 6m 50 + 6m = 0 Solving 50 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 6m = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 6m = 0 + -50 6m = 0 + -50 Combine like terms: 0 + -50 = -50 6m = -50 Divide each side by '6'. m = -8.333333333 Simplifying m = -8.333333333
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