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Simplifying 46 + 3n = 8n + 1 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 = -5n 46 + -5n = 1 + 8n + -8n Combine like terms: 8n + -8n = 0 46 + -5n = 1 + 0 46 + -5n = 1 Add '-46' to each side of the equation. 46 + -46 + -5n = 1 + -46 Combine like terms: 46 + -46 = 0 0 + -5n = 1 + -46 -5n = 1 + -46 Combine like terms: 1 + -46 = -45 -5n = -45 Divide each side by '-5'. n = 9 Simplifying n = 9
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