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