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Simplifying 3n + 46 = 1 + -8n Reorder the terms: 46 + 3n = 1 + -8n Solving 46 + 3n = 1 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 46 + 3n + 8n = 1 + -8n + 8n Combine like terms: 3n + 8n = 11n 46 + 11n = 1 + -8n + 8n Combine like terms: -8n + 8n = 0 46 + 11n = 1 + 0 46 + 11n = 1 Add '-46' to each side of the equation. 46 + -46 + 11n = 1 + -46 Combine like terms: 46 + -46 = 0 0 + 11n = 1 + -46 11n = 1 + -46 Combine like terms: 1 + -46 = -45 11n = -45 Divide each side by '11'. n = -4.090909091 Simplifying n = -4.090909091
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