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