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Simplifying 2n + 17 = 3n + 38 Reorder the terms: 17 + 2n = 3n + 38 Reorder the terms: 17 + 2n = 38 + 3n Solving 17 + 2n = 38 + 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 + 2n + -3n = 38 + 3n + -3n Combine like terms: 2n + -3n = -1n 17 + -1n = 38 + 3n + -3n Combine like terms: 3n + -3n = 0 17 + -1n = 38 + 0 17 + -1n = 38 Add '-17' to each side of the equation. 17 + -17 + -1n = 38 + -17 Combine like terms: 17 + -17 = 0 0 + -1n = 38 + -17 -1n = 38 + -17 Combine like terms: 38 + -17 = 21 -1n = 21 Divide each side by '-1'. n = -21 Simplifying n = -21
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