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Simplifying 2(3n + 4) = 38 Reorder the terms: 2(4 + 3n) = 38 (4 * 2 + 3n * 2) = 38 (8 + 6n) = 38 Solving 8 + 6n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6n = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 6n = 38 + -8 6n = 38 + -8 Combine like terms: 38 + -8 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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