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Simplifying 4n + 8n = 6(1 + 3n) + 3(4 + -8n) Combine like terms: 4n + 8n = 12n 12n = 6(1 + 3n) + 3(4 + -8n) 12n = (1 * 6 + 3n * 6) + 3(4 + -8n) 12n = (6 + 18n) + 3(4 + -8n) 12n = 6 + 18n + (4 * 3 + -8n * 3) 12n = 6 + 18n + (12 + -24n) Reorder the terms: 12n = 6 + 12 + 18n + -24n Combine like terms: 6 + 12 = 18 12n = 18 + 18n + -24n Combine like terms: 18n + -24n = -6n 12n = 18 + -6n Solving 12n = 18 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 12n + 6n = 18 + -6n + 6n Combine like terms: 12n + 6n = 18n 18n = 18 + -6n + 6n Combine like terms: -6n + 6n = 0 18n = 18 + 0 18n = 18 Divide each side by '18'. n = 1 Simplifying n = 1
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