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Simplifying 14m + 2n + -5m + 8n = 0 Reorder the terms: 14m + -5m + 2n + 8n = 0 Combine like terms: 14m + -5m = 9m 9m + 2n + 8n = 0 Combine like terms: 2n + 8n = 10n 9m + 10n = 0 Solving 9m + 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. 9m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 9m + 0 = 0 + -10n 9m = 0 + -10n Remove the zero: 9m = -10n Divide each side by '9'. m = -1.111111111n Simplifying m = -1.111111111n
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