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Simplifying 6n + 4 + 2m + -3 + 2n = 0 Reorder the terms: 4 + -3 + 2m + 6n + 2n = 0 Combine like terms: 4 + -3 = 1 1 + 2m + 6n + 2n = 0 Combine like terms: 6n + 2n = 8n 1 + 2m + 8n = 0 Solving 1 + 2m + 8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2m + -1 + 8n = 0 + -1 Reorder the terms: 1 + -1 + 2m + 8n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m + 8n = 0 + -1 2m + 8n = 0 + -1 Combine like terms: 0 + -1 = -1 2m + 8n = -1 Add '-8n' to each side of the equation. 2m + 8n + -8n = -1 + -8n Combine like terms: 8n + -8n = 0 2m + 0 = -1 + -8n 2m = -1 + -8n Divide each side by '2'. m = -0.5 + -4n Simplifying m = -0.5 + -4n
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