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Simplifying n + 5(2n + 4) = 31 Reorder the terms: n + 5(4 + 2n) = 31 n + (4 * 5 + 2n * 5) = 31 n + (20 + 10n) = 31 Reorder the terms: 20 + n + 10n = 31 Combine like terms: n + 10n = 11n 20 + 11n = 31 Solving 20 + 11n = 31 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 = 31 + -20 Combine like terms: 20 + -20 = 0 0 + 11n = 31 + -20 11n = 31 + -20 Combine like terms: 31 + -20 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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