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Simplifying 5n + 17 + n = 47 Reorder the terms: 17 + 5n + n = 47 Combine like terms: 5n + n = 6n 17 + 6n = 47 Solving 17 + 6n = 47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 6n = 47 + -17 Combine like terms: 17 + -17 = 0 0 + 6n = 47 + -17 6n = 47 + -17 Combine like terms: 47 + -17 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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