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Simplifying 3n + 47 = 1 + 8n Reorder the terms: 47 + 3n = 1 + 8n Solving 47 + 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. 47 + 3n + -8n = 1 + 8n + -8n Combine like terms: 3n + -8n = -5n 47 + -5n = 1 + 8n + -8n Combine like terms: 8n + -8n = 0 47 + -5n = 1 + 0 47 + -5n = 1 Add '-47' to each side of the equation. 47 + -47 + -5n = 1 + -47 Combine like terms: 47 + -47 = 0 0 + -5n = 1 + -47 -5n = 1 + -47 Combine like terms: 1 + -47 = -46 -5n = -46 Divide each side by '-5'. n = 9.2 Simplifying n = 9.2
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