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Simplifying 2n + -1 + 14n + 23 = 17n + -8 + 12 + -3n Reorder the terms: -1 + 23 + 2n + 14n = 17n + -8 + 12 + -3n Combine like terms: -1 + 23 = 22 22 + 2n + 14n = 17n + -8 + 12 + -3n Combine like terms: 2n + 14n = 16n 22 + 16n = 17n + -8 + 12 + -3n Reorder the terms: 22 + 16n = -8 + 12 + 17n + -3n Combine like terms: -8 + 12 = 4 22 + 16n = 4 + 17n + -3n Combine like terms: 17n + -3n = 14n 22 + 16n = 4 + 14n Solving 22 + 16n = 4 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 22 + 16n + -14n = 4 + 14n + -14n Combine like terms: 16n + -14n = 2n 22 + 2n = 4 + 14n + -14n Combine like terms: 14n + -14n = 0 22 + 2n = 4 + 0 22 + 2n = 4 Add '-22' to each side of the equation. 22 + -22 + 2n = 4 + -22 Combine like terms: 22 + -22 = 0 0 + 2n = 4 + -22 2n = 4 + -22 Combine like terms: 4 + -22 = -18 2n = -18 Divide each side by '2'. n = -9 Simplifying n = -9
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