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Simplifying 5n + 2(3n + 10) = 97 Reorder the terms: 5n + 2(10 + 3n) = 97 5n + (10 * 2 + 3n * 2) = 97 5n + (20 + 6n) = 97 Reorder the terms: 20 + 5n + 6n = 97 Combine like terms: 5n + 6n = 11n 20 + 11n = 97 Solving 20 + 11n = 97 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11n = 97 + -20 Combine like terms: 20 + -20 = 0 0 + 11n = 97 + -20 11n = 97 + -20 Combine like terms: 97 + -20 = 77 11n = 77 Divide each side by '11'. n = 7 Simplifying n = 7
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