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Simplifying 6n + 21 = 4n + 57 Reorder the terms: 21 + 6n = 4n + 57 Reorder the terms: 21 + 6n = 57 + 4n Solving 21 + 6n = 57 + 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. 21 + 6n + -4n = 57 + 4n + -4n Combine like terms: 6n + -4n = 2n 21 + 2n = 57 + 4n + -4n Combine like terms: 4n + -4n = 0 21 + 2n = 57 + 0 21 + 2n = 57 Add '-21' to each side of the equation. 21 + -21 + 2n = 57 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 57 + -21 2n = 57 + -21 Combine like terms: 57 + -21 = 36 2n = 36 Divide each side by '2'. n = 18 Simplifying n = 18
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