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Simplifying 2(2n + 7) = 7(2 + 4n) Reorder the terms: 2(7 + 2n) = 7(2 + 4n) (7 * 2 + 2n * 2) = 7(2 + 4n) (14 + 4n) = 7(2 + 4n) 14 + 4n = (2 * 7 + 4n * 7) 14 + 4n = (14 + 28n) Add '-14' to each side of the equation. 14 + -14 + 4n = 14 + -14 + 28n Combine like terms: 14 + -14 = 0 0 + 4n = 14 + -14 + 28n 4n = 14 + -14 + 28n Combine like terms: 14 + -14 = 0 4n = 0 + 28n 4n = 28n Solving 4n = 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 4n + -28n = 28n + -28n Combine like terms: 4n + -28n = -24n -24n = 28n + -28n Combine like terms: 28n + -28n = 0 -24n = 0 Divide each side by '-24'. n = 0 Simplifying n = 0
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