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Simplifying 3m + -6n + 5m + n = 0 Reorder the terms: 3m + 5m + -6n + n = 0 Combine like terms: 3m + 5m = 8m 8m + -6n + n = 0 Combine like terms: -6n + n = -5n 8m + -5n = 0 Solving 8m + -5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 8m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 8m + 0 = 0 + 5n 8m = 0 + 5n Remove the zero: 8m = 5n Divide each side by '8'. m = 0.625n Simplifying m = 0.625n
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