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Simplifying (n + 5) * 6 = 78 Reorder the terms: (5 + n) * 6 = 78 Reorder the terms for easier multiplication: 6(5 + n) = 78 (5 * 6 + n * 6) = 78 (30 + 6n) = 78 Solving 30 + 6n = 78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6n = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = 78 + -30 6n = 78 + -30 Combine like terms: 78 + -30 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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