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Simplifying 5n + 6(2 + n) = 78 5n + (2 * 6 + n * 6) = 78 5n + (12 + 6n) = 78 Reorder the terms: 12 + 5n + 6n = 78 Combine like terms: 5n + 6n = 11n 12 + 11n = 78 Solving 12 + 11n = 78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11n = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 11n = 78 + -12 11n = 78 + -12 Combine like terms: 78 + -12 = 66 11n = 66 Divide each side by '11'. n = 6 Simplifying n = 6
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