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Simplifying 1 + 8n = 3n + 46 Reorder the terms: 1 + 8n = 46 + 3n Solving 1 + 8n = 46 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 1 + 8n + -3n = 46 + 3n + -3n Combine like terms: 8n + -3n = 5n 1 + 5n = 46 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 5n = 46 + 0 1 + 5n = 46 Add '-1' to each side of the equation. 1 + -1 + 5n = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 46 + -1 5n = 46 + -1 Combine like terms: 46 + -1 = 45 5n = 45 Divide each side by '5'. n = 9 Simplifying n = 9
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