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Simplifying 5m + 2n + 8m + 9n = 0 Reorder the terms: 5m + 8m + 2n + 9n = 0 Combine like terms: 5m + 8m = 13m 13m + 2n + 9n = 0 Combine like terms: 2n + 9n = 11n 13m + 11n = 0 Solving 13m + 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. 13m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 13m + 0 = 0 + -11n 13m = 0 + -11n Remove the zero: 13m = -11n Divide each side by '13'. m = -0.8461538462n Simplifying m = -0.8461538462n
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