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Simplifying (2n + 19) + (4n + 17) = 180 Reorder the terms: (19 + 2n) + (4n + 17) = 180 Remove parenthesis around (19 + 2n) 19 + 2n + (4n + 17) = 180 Reorder the terms: 19 + 2n + (17 + 4n) = 180 Remove parenthesis around (17 + 4n) 19 + 2n + 17 + 4n = 180 Reorder the terms: 19 + 17 + 2n + 4n = 180 Combine like terms: 19 + 17 = 36 36 + 2n + 4n = 180 Combine like terms: 2n + 4n = 6n 36 + 6n = 180 Solving 36 + 6n = 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 + 6n = 180 + -36 Combine like terms: 36 + -36 = 0 0 + 6n = 180 + -36 6n = 180 + -36 Combine like terms: 180 + -36 = 144 6n = 144 Divide each side by '6'. n = 24 Simplifying n = 24
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