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Simplifying 3n + 14 = 33 + -9n Reorder the terms: 14 + 3n = 33 + -9n Solving 14 + 3n = 33 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 14 + 3n + 9n = 33 + -9n + 9n Combine like terms: 3n + 9n = 12n 14 + 12n = 33 + -9n + 9n Combine like terms: -9n + 9n = 0 14 + 12n = 33 + 0 14 + 12n = 33 Add '-14' to each side of the equation. 14 + -14 + 12n = 33 + -14 Combine like terms: 14 + -14 = 0 0 + 12n = 33 + -14 12n = 33 + -14 Combine like terms: 33 + -14 = 19 12n = 19 Divide each side by '12'. n = 1.583333333 Simplifying n = 1.583333333
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