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Simplifying 3m + 4n + -5m + 8n = 0 Reorder the terms: 3m + -5m + 4n + 8n = 0 Combine like terms: 3m + -5m = -2m -2m + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n -2m + 12n = 0 Solving -2m + 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. -2m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 -2m + 0 = 0 + -12n -2m = 0 + -12n Remove the zero: -2m = -12n Divide each side by '-2'. m = 6n Simplifying m = 6n
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