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Simplifying (4n + 12) + 2(4n + 12) = 180 Reorder the terms: (12 + 4n) + 2(4n + 12) = 180 Remove parenthesis around (12 + 4n) 12 + 4n + 2(4n + 12) = 180 Reorder the terms: 12 + 4n + 2(12 + 4n) = 180 12 + 4n + (12 * 2 + 4n * 2) = 180 12 + 4n + (24 + 8n) = 180 Reorder the terms: 12 + 24 + 4n + 8n = 180 Combine like terms: 12 + 24 = 36 36 + 4n + 8n = 180 Combine like terms: 4n + 8n = 12n 36 + 12n = 180 Solving 36 + 12n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12n = 180 + -36 Combine like terms: 36 + -36 = 0 0 + 12n = 180 + -36 12n = 180 + -36 Combine like terms: 180 + -36 = 144 12n = 144 Divide each side by '12'. n = 12 Simplifying n = 12
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