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Simplifying 3m + -1(-2 + -4m) = 5 + -2(1 + -3m) 3m + (-2 * -1 + -4m * -1) = 5 + -2(1 + -3m) 3m + (2 + 4m) = 5 + -2(1 + -3m) Reorder the terms: 2 + 3m + 4m = 5 + -2(1 + -3m) Combine like terms: 3m + 4m = 7m 2 + 7m = 5 + -2(1 + -3m) 2 + 7m = 5 + (1 * -2 + -3m * -2) 2 + 7m = 5 + (-2 + 6m) Combine like terms: 5 + -2 = 3 2 + 7m = 3 + 6m Solving 2 + 7m = 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. 2 + 7m + -6m = 3 + 6m + -6m Combine like terms: 7m + -6m = 1m 2 + 1m = 3 + 6m + -6m Combine like terms: 6m + -6m = 0 2 + 1m = 3 + 0 2 + 1m = 3 Add '-2' to each side of the equation. 2 + -2 + 1m = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1m = 3 + -2 1m = 3 + -2 Combine like terms: 3 + -2 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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