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Simplifying 9m + 6n + -2m + 8n = 0 Reorder the terms: 9m + -2m + 6n + 8n = 0 Combine like terms: 9m + -2m = 7m 7m + 6n + 8n = 0 Combine like terms: 6n + 8n = 14n 7m + 14n = 0 Solving 7m + 14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14n' to each side of the equation. 7m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 7m + 0 = 0 + -14n 7m = 0 + -14n Remove the zero: 7m = -14n Divide each side by '7'. m = -2n Simplifying m = -2n
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