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Simplifying 52 = 4(2n + 5) Reorder the terms: 52 = 4(5 + 2n) 52 = (5 * 4 + 2n * 4) 52 = (20 + 8n) Solving 52 = 20 + 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. 52 + -8n = 20 + 8n + -8n Combine like terms: 8n + -8n = 0 52 + -8n = 20 + 0 52 + -8n = 20 Add '-52' to each side of the equation. 52 + -52 + -8n = 20 + -52 Combine like terms: 52 + -52 = 0 0 + -8n = 20 + -52 -8n = 20 + -52 Combine like terms: 20 + -52 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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