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Simplifying (2n + 18) + (4n + 12) = 180 Reorder the terms: (18 + 2n) + (4n + 12) = 180 Remove parenthesis around (18 + 2n) 18 + 2n + (4n + 12) = 180 Reorder the terms: 18 + 2n + (12 + 4n) = 180 Remove parenthesis around (12 + 4n) 18 + 2n + 12 + 4n = 180 Reorder the terms: 18 + 12 + 2n + 4n = 180 Combine like terms: 18 + 12 = 30 30 + 2n + 4n = 180 Combine like terms: 2n + 4n = 6n 30 + 6n = 180 Solving 30 + 6n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6n = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = 180 + -30 6n = 180 + -30 Combine like terms: 180 + -30 = 150 6n = 150 Divide each side by '6'. n = 25 Simplifying n = 25
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