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Simplifying n + 5(2n + 1) = 38 Reorder the terms: n + 5(1 + 2n) = 38 n + (1 * 5 + 2n * 5) = 38 n + (5 + 10n) = 38 Reorder the terms: 5 + n + 10n = 38 Combine like terms: n + 10n = 11n 5 + 11n = 38 Solving 5 + 11n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11n = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 11n = 38 + -5 11n = 38 + -5 Combine like terms: 38 + -5 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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