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Simplifying 4n + 21 = 2n + 39 Reorder the terms: 21 + 4n = 2n + 39 Reorder the terms: 21 + 4n = 39 + 2n Solving 21 + 4n = 39 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 21 + 4n + -2n = 39 + 2n + -2n Combine like terms: 4n + -2n = 2n 21 + 2n = 39 + 2n + -2n Combine like terms: 2n + -2n = 0 21 + 2n = 39 + 0 21 + 2n = 39 Add '-21' to each side of the equation. 21 + -21 + 2n = 39 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 39 + -21 2n = 39 + -21 Combine like terms: 39 + -21 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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