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Simplifying 4(6n + 3) = 12 + -8n Reorder the terms: 4(3 + 6n) = 12 + -8n (3 * 4 + 6n * 4) = 12 + -8n (12 + 24n) = 12 + -8n Add '-12' to each side of the equation. 12 + -12 + 24n = 12 + -12 + -8n Combine like terms: 12 + -12 = 0 0 + 24n = 12 + -12 + -8n 24n = 12 + -12 + -8n Combine like terms: 12 + -12 = 0 24n = 0 + -8n 24n = -8n Solving 24n = -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. 24n + 8n = -8n + 8n Combine like terms: 24n + 8n = 32n 32n = -8n + 8n Combine like terms: -8n + 8n = 0 32n = 0 Divide each side by '32'. n = 0 Simplifying n = 0
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