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Simplifying 3(n + 5) = 8n Reorder the terms: 3(5 + n) = 8n (5 * 3 + n * 3) = 8n (15 + 3n) = 8n Solving 15 + 3n = 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. 15 + 3n + -8n = 8n + -8n Combine like terms: 3n + -8n = -5n 15 + -5n = 8n + -8n Combine like terms: 8n + -8n = 0 15 + -5n = 0 Add '-15' to each side of the equation. 15 + -15 + -5n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5n = 0 + -15 -5n = 0 + -15 Combine like terms: 0 + -15 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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