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Simplifying 2(1 + 5n) = 8n + 18 (1 * 2 + 5n * 2) = 8n + 18 (2 + 10n) = 8n + 18 Reorder the terms: 2 + 10n = 18 + 8n Solving 2 + 10n = 18 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 2 + 10n + -8n = 18 + 8n + -8n Combine like terms: 10n + -8n = 2n 2 + 2n = 18 + 8n + -8n Combine like terms: 8n + -8n = 0 2 + 2n = 18 + 0 2 + 2n = 18 Add '-2' to each side of the equation. 2 + -2 + 2n = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 18 + -2 2n = 18 + -2 Combine like terms: 18 + -2 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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