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Simplifying 4(2n + 5) + 4 = 64 Reorder the terms: 4(5 + 2n) + 4 = 64 (5 * 4 + 2n * 4) + 4 = 64 (20 + 8n) + 4 = 64 Reorder the terms: 20 + 4 + 8n = 64 Combine like terms: 20 + 4 = 24 24 + 8n = 64 Solving 24 + 8n = 64 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8n = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 64 + -24 8n = 64 + -24 Combine like terms: 64 + -24 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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