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