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Simplifying 3n + 14 = 9 + -1n Reorder the terms: 14 + 3n = 9 + -1n Solving 14 + 3n = 9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 14 + 3n + n = 9 + -1n + n Combine like terms: 3n + n = 4n 14 + 4n = 9 + -1n + n Combine like terms: -1n + n = 0 14 + 4n = 9 + 0 14 + 4n = 9 Add '-14' to each side of the equation. 14 + -14 + 4n = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 4n = 9 + -14 4n = 9 + -14 Combine like terms: 9 + -14 = -5 4n = -5 Divide each side by '4'. n = -1.25 Simplifying n = -1.25
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