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Simplifying 2(3n + 2) + 2(n + 4) = 36 Reorder the terms: 2(2 + 3n) + 2(n + 4) = 36 (2 * 2 + 3n * 2) + 2(n + 4) = 36 (4 + 6n) + 2(n + 4) = 36 Reorder the terms: 4 + 6n + 2(4 + n) = 36 4 + 6n + (4 * 2 + n * 2) = 36 4 + 6n + (8 + 2n) = 36 Reorder the terms: 4 + 8 + 6n + 2n = 36 Combine like terms: 4 + 8 = 12 12 + 6n + 2n = 36 Combine like terms: 6n + 2n = 8n 12 + 8n = 36 Solving 12 + 8n = 36 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 = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 8n = 36 + -12 8n = 36 + -12 Combine like terms: 36 + -12 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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