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Simplifying 3m + 6n + 9m + 4n = 0 Reorder the terms: 3m + 9m + 6n + 4n = 0 Combine like terms: 3m + 9m = 12m 12m + 6n + 4n = 0 Combine like terms: 6n + 4n = 10n 12m + 10n = 0 Solving 12m + 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. 12m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 12m + 0 = 0 + -10n 12m = 0 + -10n Remove the zero: 12m = -10n Divide each side by '12'. m = -0.8333333333n Simplifying m = -0.8333333333n
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