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Simplifying 3n + 2 + 9n = 5 + 4n Reorder the terms: 2 + 3n + 9n = 5 + 4n Combine like terms: 3n + 9n = 12n 2 + 12n = 5 + 4n Solving 2 + 12n = 5 + 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. 2 + 12n + -4n = 5 + 4n + -4n Combine like terms: 12n + -4n = 8n 2 + 8n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 8n = 5 + 0 2 + 8n = 5 Add '-2' to each side of the equation. 2 + -2 + 8n = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 8n = 5 + -2 8n = 5 + -2 Combine like terms: 5 + -2 = 3 8n = 3 Divide each side by '8'. n = 0.375 Simplifying n = 0.375
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