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Simplifying 12m + 2n + -3m + 9n = 0 Reorder the terms: 12m + -3m + 2n + 9n = 0 Combine like terms: 12m + -3m = 9m 9m + 2n + 9n = 0 Combine like terms: 2n + 9n = 11n 9m + 11n = 0 Solving 9m + 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. 9m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 9m + 0 = 0 + -11n 9m = 0 + -11n Remove the zero: 9m = -11n Divide each side by '9'. m = -1.222222222n Simplifying m = -1.222222222n
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