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Simplifying 2m + -3n + 2 + -1m + n + 1 + 2n = 0 Reorder the terms: 2 + 1 + 2m + -1m + -3n + n + 2n = 0 Combine like terms: 2 + 1 = 3 3 + 2m + -1m + -3n + n + 2n = 0 Combine like terms: 2m + -1m = 1m 3 + 1m + -3n + n + 2n = 0 Combine like terms: -3n + n = -2n 3 + 1m + -2n + 2n = 0 Combine like terms: -2n + 2n = 0 3 + 1m + 0 = 0 3 + 1m = 0 Solving 3 + 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1m = 0 + -3 1m = 0 + -3 Combine like terms: 0 + -3 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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