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Simplifying 2n + 2(n + 7) + 1 = 39 Reorder the terms: 2n + 2(7 + n) + 1 = 39 2n + (7 * 2 + n * 2) + 1 = 39 2n + (14 + 2n) + 1 = 39 Reorder the terms: 14 + 1 + 2n + 2n = 39 Combine like terms: 14 + 1 = 15 15 + 2n + 2n = 39 Combine like terms: 2n + 2n = 4n 15 + 4n = 39 Solving 15 + 4n = 39 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4n = 39 + -15 Combine like terms: 15 + -15 = 0 0 + 4n = 39 + -15 4n = 39 + -15 Combine like terms: 39 + -15 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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