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Simplifying 10n + 6n + -17 = 17 + 14n Reorder the terms: -17 + 10n + 6n = 17 + 14n Combine like terms: 10n + 6n = 16n -17 + 16n = 17 + 14n Solving -17 + 16n = 17 + 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. -17 + 16n + -14n = 17 + 14n + -14n Combine like terms: 16n + -14n = 2n -17 + 2n = 17 + 14n + -14n Combine like terms: 14n + -14n = 0 -17 + 2n = 17 + 0 -17 + 2n = 17 Add '17' to each side of the equation. -17 + 17 + 2n = 17 + 17 Combine like terms: -17 + 17 = 0 0 + 2n = 17 + 17 2n = 17 + 17 Combine like terms: 17 + 17 = 34 2n = 34 Divide each side by '2'. n = 17 Simplifying n = 17
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