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Simplifying 12(3n + 5) = 4(2n + 15) Reorder the terms: 12(5 + 3n) = 4(2n + 15) (5 * 12 + 3n * 12) = 4(2n + 15) (60 + 36n) = 4(2n + 15) Reorder the terms: 60 + 36n = 4(15 + 2n) 60 + 36n = (15 * 4 + 2n * 4) 60 + 36n = (60 + 8n) Add '-60' to each side of the equation. 60 + -60 + 36n = 60 + -60 + 8n Combine like terms: 60 + -60 = 0 0 + 36n = 60 + -60 + 8n 36n = 60 + -60 + 8n Combine like terms: 60 + -60 = 0 36n = 0 + 8n 36n = 8n Solving 36n = 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. 36n + -8n = 8n + -8n Combine like terms: 36n + -8n = 28n 28n = 8n + -8n Combine like terms: 8n + -8n = 0 28n = 0 Divide each side by '28'. n = 0 Simplifying n = 0
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