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Simplifying 17 + 14n = -19 + 3n + 17n Combine like terms: 3n + 17n = 20n 17 + 14n = -19 + 20n Solving 17 + 14n = -19 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 17 + 14n + -20n = -19 + 20n + -20n Combine like terms: 14n + -20n = -6n 17 + -6n = -19 + 20n + -20n Combine like terms: 20n + -20n = 0 17 + -6n = -19 + 0 17 + -6n = -19 Add '-17' to each side of the equation. 17 + -17 + -6n = -19 + -17 Combine like terms: 17 + -17 = 0 0 + -6n = -19 + -17 -6n = -19 + -17 Combine like terms: -19 + -17 = -36 -6n = -36 Divide each side by '-6'. n = 6 Simplifying n = 6
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