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Simplifying 2(7n + 1) = 14 + 8n Reorder the terms: 2(1 + 7n) = 14 + 8n (1 * 2 + 7n * 2) = 14 + 8n (2 + 14n) = 14 + 8n Solving 2 + 14n = 14 + 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 + 14n + -8n = 14 + 8n + -8n Combine like terms: 14n + -8n = 6n 2 + 6n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 2 + 6n = 14 + 0 2 + 6n = 14 Add '-2' to each side of the equation. 2 + -2 + 6n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 14 + -2 6n = 14 + -2 Combine like terms: 14 + -2 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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