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Simplifying 3n + 38 = 11n + 14 Reorder the terms: 38 + 3n = 11n + 14 Reorder the terms: 38 + 3n = 14 + 11n Solving 38 + 3n = 14 + 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. 38 + 3n + -11n = 14 + 11n + -11n Combine like terms: 3n + -11n = -8n 38 + -8n = 14 + 11n + -11n Combine like terms: 11n + -11n = 0 38 + -8n = 14 + 0 38 + -8n = 14 Add '-38' to each side of the equation. 38 + -38 + -8n = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -8n = 14 + -38 -8n = 14 + -38 Combine like terms: 14 + -38 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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