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Simplifying 4(3n + 5) = 2(4n + 10) Reorder the terms: 4(5 + 3n) = 2(4n + 10) (5 * 4 + 3n * 4) = 2(4n + 10) (20 + 12n) = 2(4n + 10) Reorder the terms: 20 + 12n = 2(10 + 4n) 20 + 12n = (10 * 2 + 4n * 2) 20 + 12n = (20 + 8n) Add '-20' to each side of the equation. 20 + -20 + 12n = 20 + -20 + 8n Combine like terms: 20 + -20 = 0 0 + 12n = 20 + -20 + 8n 12n = 20 + -20 + 8n Combine like terms: 20 + -20 = 0 12n = 0 + 8n 12n = 8n Solving 12n = 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. 12n + -8n = 8n + -8n Combine like terms: 12n + -8n = 4n 4n = 8n + -8n Combine like terms: 8n + -8n = 0 4n = 0 Divide each side by '4'. n = 0 Simplifying n = 0
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