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Simplifying 3n + 9 = 41 + -5n Reorder the terms: 9 + 3n = 41 + -5n Solving 9 + 3n = 41 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 9 + 3n + 5n = 41 + -5n + 5n Combine like terms: 3n + 5n = 8n 9 + 8n = 41 + -5n + 5n Combine like terms: -5n + 5n = 0 9 + 8n = 41 + 0 9 + 8n = 41 Add '-9' to each side of the equation. 9 + -9 + 8n = 41 + -9 Combine like terms: 9 + -9 = 0 0 + 8n = 41 + -9 8n = 41 + -9 Combine like terms: 41 + -9 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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