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Simplifying 3m + -4 + 20 + -5m + -1(4m + -8 + 6m) = 0 Reorder the terms: 3m + -4 + 20 + -5m + -1(-8 + 4m + 6m) = 0 Combine like terms: 4m + 6m = 10m 3m + -4 + 20 + -5m + -1(-8 + 10m) = 0 3m + -4 + 20 + -5m + (-8 * -1 + 10m * -1) = 0 3m + -4 + 20 + -5m + (8 + -10m) = 0 Reorder the terms: -4 + 20 + 8 + 3m + -5m + -10m = 0 Combine like terms: -4 + 20 = 16 16 + 8 + 3m + -5m + -10m = 0 Combine like terms: 16 + 8 = 24 24 + 3m + -5m + -10m = 0 Combine like terms: 3m + -5m = -2m 24 + -2m + -10m = 0 Combine like terms: -2m + -10m = -12m 24 + -12m = 0 Solving 24 + -12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -12m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -12m = 0 + -24 -12m = 0 + -24 Combine like terms: 0 + -24 = -24 -12m = -24 Divide each side by '-12'. m = 2 Simplifying m = 2
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