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Simplifying 2(4n + 5) = 74 Reorder the terms: 2(5 + 4n) = 74 (5 * 2 + 4n * 2) = 74 (10 + 8n) = 74 Solving 10 + 8n = 74 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 + 8n = 74 + -10 Combine like terms: 10 + -10 = 0 0 + 8n = 74 + -10 8n = 74 + -10 Combine like terms: 74 + -10 = 64 8n = 64 Divide each side by '8'. n = 8 Simplifying n = 8
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