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Simplifying 6n + 2(6n + 7) = 38 + 6n Reorder the terms: 6n + 2(7 + 6n) = 38 + 6n 6n + (7 * 2 + 6n * 2) = 38 + 6n 6n + (14 + 12n) = 38 + 6n Reorder the terms: 14 + 6n + 12n = 38 + 6n Combine like terms: 6n + 12n = 18n 14 + 18n = 38 + 6n Solving 14 + 18n = 38 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 14 + 18n + -6n = 38 + 6n + -6n Combine like terms: 18n + -6n = 12n 14 + 12n = 38 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + 12n = 38 + 0 14 + 12n = 38 Add '-14' to each side of the equation. 14 + -14 + 12n = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 12n = 38 + -14 12n = 38 + -14 Combine like terms: 38 + -14 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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