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Simplifying 2(4 + -1m) + -3(1 + m) = 5 + -2(3m + 4) (4 * 2 + -1m * 2) + -3(1 + m) = 5 + -2(3m + 4) (8 + -2m) + -3(1 + m) = 5 + -2(3m + 4) 8 + -2m + (1 * -3 + m * -3) = 5 + -2(3m + 4) 8 + -2m + (-3 + -3m) = 5 + -2(3m + 4) Reorder the terms: 8 + -3 + -2m + -3m = 5 + -2(3m + 4) Combine like terms: 8 + -3 = 5 5 + -2m + -3m = 5 + -2(3m + 4) Combine like terms: -2m + -3m = -5m 5 + -5m = 5 + -2(3m + 4) Reorder the terms: 5 + -5m = 5 + -2(4 + 3m) 5 + -5m = 5 + (4 * -2 + 3m * -2) 5 + -5m = 5 + (-8 + -6m) Combine like terms: 5 + -8 = -3 5 + -5m = -3 + -6m Solving 5 + -5m = -3 + -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. 5 + -5m + 6m = -3 + -6m + 6m Combine like terms: -5m + 6m = 1m 5 + 1m = -3 + -6m + 6m Combine like terms: -6m + 6m = 0 5 + 1m = -3 + 0 5 + 1m = -3 Add '-5' to each side of the equation. 5 + -5 + 1m = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1m = -3 + -5 1m = -3 + -5 Combine like terms: -3 + -5 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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