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Simplifying 2(1 + 3n) + 6n = 38 (1 * 2 + 3n * 2) + 6n = 38 (2 + 6n) + 6n = 38 Combine like terms: 6n + 6n = 12n 2 + 12n = 38 Solving 2 + 12n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12n = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 12n = 38 + -2 12n = 38 + -2 Combine like terms: 38 + -2 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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