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Simplifying 4n = 2(n + 6) Reorder the terms: 4n = 2(6 + n) 4n = (6 * 2 + n * 2) 4n = (12 + 2n) Solving 4n = 12 + 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. 4n + -2n = 12 + 2n + -2n Combine like terms: 4n + -2n = 2n 2n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 2n = 12 + 0 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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