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Simplifying 5n + 17 = 3n + 52 Reorder the terms: 17 + 5n = 3n + 52 Reorder the terms: 17 + 5n = 52 + 3n Solving 17 + 5n = 52 + 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. 17 + 5n + -3n = 52 + 3n + -3n Combine like terms: 5n + -3n = 2n 17 + 2n = 52 + 3n + -3n Combine like terms: 3n + -3n = 0 17 + 2n = 52 + 0 17 + 2n = 52 Add '-17' to each side of the equation. 17 + -17 + 2n = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 2n = 52 + -17 2n = 52 + -17 Combine like terms: 52 + -17 = 35 2n = 35 Divide each side by '2'. n = 17.5 Simplifying n = 17.5
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