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Simplifying 3n + 46 = 13r + 8n Reorder the terms: 46 + 3n = 13r + 8n Reorder the terms: 46 + 3n = 8n + 13r Solving 46 + 3n = 8n + 13r 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 = 8n + -8n + 13r Combine like terms: 3n + -8n = -5n 46 + -5n = 8n + -8n + 13r Combine like terms: 8n + -8n = 0 46 + -5n = 0 + 13r 46 + -5n = 13r Add '-46' to each side of the equation. 46 + -46 + -5n = -46 + 13r Combine like terms: 46 + -46 = 0 0 + -5n = -46 + 13r -5n = -46 + 13r Divide each side by '-5'. n = 9.2 + -2.6r Simplifying n = 9.2 + -2.6r
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