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Simplifying 5(2n + 1) = 2(4n + 6) Reorder the terms: 5(1 + 2n) = 2(4n + 6) (1 * 5 + 2n * 5) = 2(4n + 6) (5 + 10n) = 2(4n + 6) Reorder the terms: 5 + 10n = 2(6 + 4n) 5 + 10n = (6 * 2 + 4n * 2) 5 + 10n = (12 + 8n) Solving 5 + 10n = 12 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 5 + 10n + -8n = 12 + 8n + -8n Combine like terms: 10n + -8n = 2n 5 + 2n = 12 + 8n + -8n Combine like terms: 8n + -8n = 0 5 + 2n = 12 + 0 5 + 2n = 12 Add '-5' to each side of the equation. 5 + -5 + 2n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 12 + -5 2n = 12 + -5 Combine like terms: 12 + -5 = 7 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5
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