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Simplifying 8n = 3(n + 4) + n Reorder the terms: 8n = 3(4 + n) + n 8n = (4 * 3 + n * 3) + n 8n = (12 + 3n) + n Combine like terms: 3n + n = 4n 8n = 12 + 4n Solving 8n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 8n + -4n = 12 + 4n + -4n Combine like terms: 8n + -4n = 4n 4n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 4n = 12 + 0 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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