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Simplifying 5n + 17 = 2n + 37 Reorder the terms: 17 + 5n = 2n + 37 Reorder the terms: 17 + 5n = 37 + 2n Solving 17 + 5n = 37 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 17 + 5n + -2n = 37 + 2n + -2n Combine like terms: 5n + -2n = 3n 17 + 3n = 37 + 2n + -2n Combine like terms: 2n + -2n = 0 17 + 3n = 37 + 0 17 + 3n = 37 Add '-17' to each side of the equation. 17 + -17 + 3n = 37 + -17 Combine like terms: 17 + -17 = 0 0 + 3n = 37 + -17 3n = 37 + -17 Combine like terms: 37 + -17 = 20 3n = 20 Divide each side by '3'. n = 6.666666667 Simplifying n = 6.666666667
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