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Simplifying 8(n + 1) = 6(n + 5) Reorder the terms: 8(1 + n) = 6(n + 5) (1 * 8 + n * 8) = 6(n + 5) (8 + 8n) = 6(n + 5) Reorder the terms: 8 + 8n = 6(5 + n) 8 + 8n = (5 * 6 + n * 6) 8 + 8n = (30 + 6n) Solving 8 + 8n = 30 + 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. 8 + 8n + -6n = 30 + 6n + -6n Combine like terms: 8n + -6n = 2n 8 + 2n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + 2n = 30 + 0 8 + 2n = 30 Add '-8' to each side of the equation. 8 + -8 + 2n = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 2n = 30 + -8 2n = 30 + -8 Combine like terms: 30 + -8 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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