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Simplifying 5(2n + 1) = 8(n + 5) + -5 Reorder the terms: 5(1 + 2n) = 8(n + 5) + -5 (1 * 5 + 2n * 5) = 8(n + 5) + -5 (5 + 10n) = 8(n + 5) + -5 Reorder the terms: 5 + 10n = 8(5 + n) + -5 5 + 10n = (5 * 8 + n * 8) + -5 5 + 10n = (40 + 8n) + -5 Reorder the terms: 5 + 10n = 40 + -5 + 8n Combine like terms: 40 + -5 = 35 5 + 10n = 35 + 8n Solving 5 + 10n = 35 + 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 = 35 + 8n + -8n Combine like terms: 10n + -8n = 2n 5 + 2n = 35 + 8n + -8n Combine like terms: 8n + -8n = 0 5 + 2n = 35 + 0 5 + 2n = 35 Add '-5' to each side of the equation. 5 + -5 + 2n = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 35 + -5 2n = 35 + -5 Combine like terms: 35 + -5 = 30 2n = 30 Divide each side by '2'. n = 15 Simplifying n = 15
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