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Simplifying 14 + 3n = 8n + 3(n + 4) + 2 Reorder the terms: 14 + 3n = 8n + 3(4 + n) + 2 14 + 3n = 8n + (4 * 3 + n * 3) + 2 14 + 3n = 8n + (12 + 3n) + 2 Reorder the terms: 14 + 3n = 12 + 2 + 8n + 3n Combine like terms: 12 + 2 = 14 14 + 3n = 14 + 8n + 3n Combine like terms: 8n + 3n = 11n 14 + 3n = 14 + 11n Add '-14' to each side of the equation. 14 + -14 + 3n = 14 + -14 + 11n Combine like terms: 14 + -14 = 0 0 + 3n = 14 + -14 + 11n 3n = 14 + -14 + 11n Combine like terms: 14 + -14 = 0 3n = 0 + 11n 3n = 11n Solving 3n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 3n + -11n = 11n + -11n Combine like terms: 3n + -11n = -8n -8n = 11n + -11n Combine like terms: 11n + -11n = 0 -8n = 0 Divide each side by '-8'. n = 0 Simplifying n = 0
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