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Simplifying 4m + 2n = n + -5m Reorder the terms: 4m + 2n = -5m + n Solving 4m + 2n = -5m + n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 4m + 5m + 2n = -5m + 5m + n Combine like terms: 4m + 5m = 9m 9m + 2n = -5m + 5m + n Combine like terms: -5m + 5m = 0 9m + 2n = 0 + n 9m + 2n = n Add '-2n' to each side of the equation. 9m + 2n + -2n = n + -2n Combine like terms: 2n + -2n = 0 9m + 0 = n + -2n 9m = n + -2n Combine like terms: n + -2n = -1n 9m = -1n Divide each side by '9'. m = -0.1111111111n Simplifying m = -0.1111111111n
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