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Simplifying 2 + 8n + 7 + 1 = 4n + 2n Reorder the terms: 2 + 7 + 1 + 8n = 4n + 2n Combine like terms: 2 + 7 = 9 9 + 1 + 8n = 4n + 2n Combine like terms: 9 + 1 = 10 10 + 8n = 4n + 2n Combine like terms: 4n + 2n = 6n 10 + 8n = 6n Solving 10 + 8n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + 8n + -6n = 6n + -6n Combine like terms: 8n + -6n = 2n 10 + 2n = 6n + -6n Combine like terms: 6n + -6n = 0 10 + 2n = 0 Add '-10' to each side of the equation. 10 + -10 + 2n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 0 + -10 2n = 0 + -10 Combine like terms: 0 + -10 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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