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Simplifying 12m + 2n + -5m + 8n = 0 Reorder the terms: 12m + -5m + 2n + 8n = 0 Combine like terms: 12m + -5m = 7m 7m + 2n + 8n = 0 Combine like terms: 2n + 8n = 10n 7m + 10n = 0 Solving 7m + 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. 7m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 7m + 0 = 0 + -10n 7m = 0 + -10n Remove the zero: 7m = -10n Divide each side by '7'. m = -1.428571429n Simplifying m = -1.428571429n
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