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Simplifying 2m + 6n + 4m + 5n = 0 Reorder the terms: 2m + 4m + 6n + 5n = 0 Combine like terms: 2m + 4m = 6m 6m + 6n + 5n = 0 Combine like terms: 6n + 5n = 11n 6m + 11n = 0 Solving 6m + 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. 6m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 6m + 0 = 0 + -11n 6m = 0 + -11n Remove the zero: 6m = -11n Divide each side by '6'. m = -1.833333333n Simplifying m = -1.833333333n
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