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Simplifying 3(8n + 4) = -36 + 8n Reorder the terms: 3(4 + 8n) = -36 + 8n (4 * 3 + 8n * 3) = -36 + 8n (12 + 24n) = -36 + 8n Solving 12 + 24n = -36 + 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. 12 + 24n + -8n = -36 + 8n + -8n Combine like terms: 24n + -8n = 16n 12 + 16n = -36 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + 16n = -36 + 0 12 + 16n = -36 Add '-12' to each side of the equation. 12 + -12 + 16n = -36 + -12 Combine like terms: 12 + -12 = 0 0 + 16n = -36 + -12 16n = -36 + -12 Combine like terms: -36 + -12 = -48 16n = -48 Divide each side by '16'. n = -3 Simplifying n = -3
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