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Simplifying 2(n + 7) + 2(4n + 2) = 72 Reorder the terms: 2(7 + n) + 2(4n + 2) = 72 (7 * 2 + n * 2) + 2(4n + 2) = 72 (14 + 2n) + 2(4n + 2) = 72 Reorder the terms: 14 + 2n + 2(2 + 4n) = 72 14 + 2n + (2 * 2 + 4n * 2) = 72 14 + 2n + (4 + 8n) = 72 Reorder the terms: 14 + 4 + 2n + 8n = 72 Combine like terms: 14 + 4 = 18 18 + 2n + 8n = 72 Combine like terms: 2n + 8n = 10n 18 + 10n = 72 Solving 18 + 10n = 72 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 10n = 72 + -18 Combine like terms: 18 + -18 = 0 0 + 10n = 72 + -18 10n = 72 + -18 Combine like terms: 72 + -18 = 54 10n = 54 Divide each side by '10'. n = 5.4 Simplifying n = 5.4
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