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Simplifying 5[2 + -1(2m + -4)] = 2(5 + -3m) Reorder the terms: 5[2 + -1(-4 + 2m)] = 2(5 + -3m) 5[2 + (-4 * -1 + 2m * -1)] = 2(5 + -3m) 5[2 + (4 + -2m)] = 2(5 + -3m) Combine like terms: 2 + 4 = 6 5[6 + -2m] = 2(5 + -3m) [6 * 5 + -2m * 5] = 2(5 + -3m) [30 + -10m] = 2(5 + -3m) 30 + -10m = (5 * 2 + -3m * 2) 30 + -10m = (10 + -6m) Solving 30 + -10m = 10 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 30 + -10m + 6m = 10 + -6m + 6m Combine like terms: -10m + 6m = -4m 30 + -4m = 10 + -6m + 6m Combine like terms: -6m + 6m = 0 30 + -4m = 10 + 0 30 + -4m = 10 Add '-30' to each side of the equation. 30 + -30 + -4m = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4m = 10 + -30 -4m = 10 + -30 Combine like terms: 10 + -30 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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