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Simplifying 6n + 6(n + 3) = 78 Reorder the terms: 6n + 6(3 + n) = 78 6n + (3 * 6 + n * 6) = 78 6n + (18 + 6n) = 78 Reorder the terms: 18 + 6n + 6n = 78 Combine like terms: 6n + 6n = 12n 18 + 12n = 78 Solving 18 + 12n = 78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12n = 78 + -18 Combine like terms: 18 + -18 = 0 0 + 12n = 78 + -18 12n = 78 + -18 Combine like terms: 78 + -18 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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