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Simplifying n + 5(2n + 2) = 32 Reorder the terms: n + 5(2 + 2n) = 32 n + (2 * 5 + 2n * 5) = 32 n + (10 + 10n) = 32 Reorder the terms: 10 + n + 10n = 32 Combine like terms: n + 10n = 11n 10 + 11n = 32 Solving 10 + 11n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11n = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 11n = 32 + -10 11n = 32 + -10 Combine like terms: 32 + -10 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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