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Simplifying 9m + 3n + -5m + 7n = 0 Reorder the terms: 9m + -5m + 3n + 7n = 0 Combine like terms: 9m + -5m = 4m 4m + 3n + 7n = 0 Combine like terms: 3n + 7n = 10n 4m + 10n = 0 Solving 4m + 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. 4m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 4m + 0 = 0 + -10n 4m = 0 + -10n Remove the zero: 4m = -10n Divide each side by '4'. m = -2.5n Simplifying m = -2.5n
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