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Simplifying 3n + 38 = 11n + 1 Reorder the terms: 38 + 3n = 11n + 1 Reorder the terms: 38 + 3n = 1 + 11n Solving 38 + 3n = 1 + 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 = 1 + 11n + -11n Combine like terms: 3n + -11n = -8n 38 + -8n = 1 + 11n + -11n Combine like terms: 11n + -11n = 0 38 + -8n = 1 + 0 38 + -8n = 1 Add '-38' to each side of the equation. 38 + -38 + -8n = 1 + -38 Combine like terms: 38 + -38 = 0 0 + -8n = 1 + -38 -8n = 1 + -38 Combine like terms: 1 + -38 = -37 -8n = -37 Divide each side by '-8'. n = 4.625 Simplifying n = 4.625
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