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Simplifying 2n + 5 = 17 + -4n Reorder the terms: 5 + 2n = 17 + -4n Solving 5 + 2n = 17 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 5 + 2n + 4n = 17 + -4n + 4n Combine like terms: 2n + 4n = 6n 5 + 6n = 17 + -4n + 4n Combine like terms: -4n + 4n = 0 5 + 6n = 17 + 0 5 + 6n = 17 Add '-5' to each side of the equation. 5 + -5 + 6n = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 17 + -5 6n = 17 + -5 Combine like terms: 17 + -5 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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