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Simplifying 3m + 2n + m + 6n = 0 Reorder the terms: 3m + m + 2n + 6n = 0 Combine like terms: 3m + m = 4m 4m + 2n + 6n = 0 Combine like terms: 2n + 6n = 8n 4m + 8n = 0 Solving 4m + 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. 4m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 4m + 0 = 0 + -8n 4m = 0 + -8n Remove the zero: 4m = -8n Divide each side by '4'. m = -2n Simplifying m = -2n
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