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Simplifying 12m + 3n + -5n + 10n = 0 Combine like terms: 3n + -5n = -2n 12m + -2n + 10n = 0 Combine like terms: -2n + 10n = 8n 12m + 8n = 0 Solving 12m + 8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 12m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 12m + 0 = 0 + -8n 12m = 0 + -8n Remove the zero: 12m = -8n Divide each side by '12'. m = -0.6666666667n Simplifying m = -0.6666666667n
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