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Simplifying 2 + 8(n + 1) = 6(n + 4) Reorder the terms: 2 + 8(1 + n) = 6(n + 4) 2 + (1 * 8 + n * 8) = 6(n + 4) 2 + (8 + 8n) = 6(n + 4) Combine like terms: 2 + 8 = 10 10 + 8n = 6(n + 4) Reorder the terms: 10 + 8n = 6(4 + n) 10 + 8n = (4 * 6 + n * 6) 10 + 8n = (24 + 6n) Solving 10 + 8n = 24 + 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 = 24 + 6n + -6n Combine like terms: 8n + -6n = 2n 10 + 2n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + 2n = 24 + 0 10 + 2n = 24 Add '-10' to each side of the equation. 10 + -10 + 2n = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 24 + -10 2n = 24 + -10 Combine like terms: 24 + -10 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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