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Simplifying -12 + 8N = 8n + 6(n + 8) Reorder the terms: -12 + 8N = 8n + 6(8 + n) -12 + 8N = 8n + (8 * 6 + n * 6) -12 + 8N = 8n + (48 + 6n) Reorder the terms: -12 + 8N = 48 + 8n + 6n Combine like terms: 8n + 6n = 14n -12 + 8N = 48 + 14n Solving -12 + 8N = 48 + 14n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8N = 48 + 12 + 14n Combine like terms: -12 + 12 = 0 0 + 8N = 48 + 12 + 14n 8N = 48 + 12 + 14n Combine like terms: 48 + 12 = 60 8N = 60 + 14n Divide each side by '8'. N = 7.5 + 1.75n Simplifying N = 7.5 + 1.75n
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