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Simplifying 6(n + 6) = 66 Reorder the terms: 6(6 + n) = 66 (6 * 6 + n * 6) = 66 (36 + 6n) = 66 Solving 36 + 6n = 66 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6n = 66 + -36 Combine like terms: 36 + -36 = 0 0 + 6n = 66 + -36 6n = 66 + -36 Combine like terms: 66 + -36 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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