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Simplifying 3m + 2n + 5m + 4n = 0 Reorder the terms: 3m + 5m + 2n + 4n = 0 Combine like terms: 3m + 5m = 8m 8m + 2n + 4n = 0 Combine like terms: 2n + 4n = 6n 8m + 6n = 0 Solving 8m + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6n' to each side of the equation. 8m + 6n + -6n = 0 + -6n Combine like terms: 6n + -6n = 0 8m + 0 = 0 + -6n 8m = 0 + -6n Remove the zero: 8m = -6n Divide each side by '8'. m = -0.75n Simplifying m = -0.75n
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