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Simplifying 4n + 5 + -1n + 12 = 2 + 6n Reorder the terms: 5 + 12 + 4n + -1n = 2 + 6n Combine like terms: 5 + 12 = 17 17 + 4n + -1n = 2 + 6n Combine like terms: 4n + -1n = 3n 17 + 3n = 2 + 6n Solving 17 + 3n = 2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 17 + 3n + -6n = 2 + 6n + -6n Combine like terms: 3n + -6n = -3n 17 + -3n = 2 + 6n + -6n Combine like terms: 6n + -6n = 0 17 + -3n = 2 + 0 17 + -3n = 2 Add '-17' to each side of the equation. 17 + -17 + -3n = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -3n = 2 + -17 -3n = 2 + -17 Combine like terms: 2 + -17 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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