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Simplifying 3m + 2n + 7m + 6n = 0 Reorder the terms: 3m + 7m + 2n + 6n = 0 Combine like terms: 3m + 7m = 10m 10m + 2n + 6n = 0 Combine like terms: 2n + 6n = 8n 10m + 8n = 0 Solving 10m + 8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 10m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 10m + 0 = 0 + -8n 10m = 0 + -8n Remove the zero: 10m = -8n Divide each side by '10'. m = -0.8n Simplifying m = -0.8n
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