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Simplifying 2(2 + 7n) = 8(n + 2) (2 * 2 + 7n * 2) = 8(n + 2) (4 + 14n) = 8(n + 2) Reorder the terms: 4 + 14n = 8(2 + n) 4 + 14n = (2 * 8 + n * 8) 4 + 14n = (16 + 8n) Solving 4 + 14n = 16 + 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. 4 + 14n + -8n = 16 + 8n + -8n Combine like terms: 14n + -8n = 6n 4 + 6n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 4 + 6n = 16 + 0 4 + 6n = 16 Add '-4' to each side of the equation. 4 + -4 + 6n = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = 16 + -4 6n = 16 + -4 Combine like terms: 16 + -4 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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