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Simplifying 5m + 4n + 9m + 6n = 0 Reorder the terms: 5m + 9m + 4n + 6n = 0 Combine like terms: 5m + 9m = 14m 14m + 4n + 6n = 0 Combine like terms: 4n + 6n = 10n 14m + 10n = 0 Solving 14m + 10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10n' to each side of the equation. 14m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 14m + 0 = 0 + -10n 14m = 0 + -10n Remove the zero: 14m = -10n Divide each side by '14'. m = -0.7142857143n Simplifying m = -0.7142857143n
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