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Simplifying 12n + 483 = 21n + 462 Reorder the terms: 483 + 12n = 21n + 462 Reorder the terms: 483 + 12n = 462 + 21n Solving 483 + 12n = 462 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 483 + 12n + -21n = 462 + 21n + -21n Combine like terms: 12n + -21n = -9n 483 + -9n = 462 + 21n + -21n Combine like terms: 21n + -21n = 0 483 + -9n = 462 + 0 483 + -9n = 462 Add '-483' to each side of the equation. 483 + -483 + -9n = 462 + -483 Combine like terms: 483 + -483 = 0 0 + -9n = 462 + -483 -9n = 462 + -483 Combine like terms: 462 + -483 = -21 -9n = -21 Divide each side by '-9'. n = 2.333333333 Simplifying n = 2.333333333
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