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Simplifying 24 + 6n = 2(2n + 7) Reorder the terms: 24 + 6n = 2(7 + 2n) 24 + 6n = (7 * 2 + 2n * 2) 24 + 6n = (14 + 4n) Solving 24 + 6n = 14 + 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. 24 + 6n + -4n = 14 + 4n + -4n Combine like terms: 6n + -4n = 2n 24 + 2n = 14 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + 2n = 14 + 0 24 + 2n = 14 Add '-24' to each side of the equation. 24 + -24 + 2n = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 2n = 14 + -24 2n = 14 + -24 Combine like terms: 14 + -24 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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