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Simplifying 5m + 4n + -2m + 7n = 0 Reorder the terms: 5m + -2m + 4n + 7n = 0 Combine like terms: 5m + -2m = 3m 3m + 4n + 7n = 0 Combine like terms: 4n + 7n = 11n 3m + 11n = 0 Solving 3m + 11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11n' to each side of the equation. 3m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 3m + 0 = 0 + -11n 3m = 0 + -11n Remove the zero: 3m = -11n Divide each side by '3'. m = -3.666666667n Simplifying m = -3.666666667n
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