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Simplifying 5m + 4n + -2m + 8n = 0 Reorder the terms: 5m + -2m + 4n + 8n = 0 Combine like terms: 5m + -2m = 3m 3m + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 3m + 12n = 0 Solving 3m + 12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12n' to each side of the equation. 3m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 3m + 0 = 0 + -12n 3m = 0 + -12n Remove the zero: 3m = -12n Divide each side by '3'. m = -4n Simplifying m = -4n
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