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Simplifying 4m + 3n + -2m + 8n = 0 Reorder the terms: 4m + -2m + 3n + 8n = 0 Combine like terms: 4m + -2m = 2m 2m + 3n + 8n = 0 Combine like terms: 3n + 8n = 11n 2m + 11n = 0 Solving 2m + 11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11n' to each side of the equation. 2m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 2m + 0 = 0 + -11n 2m = 0 + -11n Remove the zero: 2m = -11n Divide each side by '2'. m = -5.5n Simplifying m = -5.5n
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