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Simplifying 1 + 5(2n + 2) = 81 Reorder the terms: 1 + 5(2 + 2n) = 81 1 + (2 * 5 + 2n * 5) = 81 1 + (10 + 10n) = 81 Combine like terms: 1 + 10 = 11 11 + 10n = 81 Solving 11 + 10n = 81 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10n = 81 + -11 Combine like terms: 11 + -11 = 0 0 + 10n = 81 + -11 10n = 81 + -11 Combine like terms: 81 + -11 = 70 10n = 70 Divide each side by '10'. n = 7 Simplifying n = 7
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