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Simplifying 17 + 6n = -2n + 5n + 5 + 9 Reorder the terms: 17 + 6n = 5 + 9 + -2n + 5n Combine like terms: 5 + 9 = 14 17 + 6n = 14 + -2n + 5n Combine like terms: -2n + 5n = 3n 17 + 6n = 14 + 3n Solving 17 + 6n = 14 + 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 + 6n + -3n = 14 + 3n + -3n Combine like terms: 6n + -3n = 3n 17 + 3n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 17 + 3n = 14 + 0 17 + 3n = 14 Add '-17' to each side of the equation. 17 + -17 + 3n = 14 + -17 Combine like terms: 17 + -17 = 0 0 + 3n = 14 + -17 3n = 14 + -17 Combine like terms: 14 + -17 = -3 3n = -3 Divide each side by '3'. n = -1 Simplifying n = -1
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