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Simplifying (4n + 23) + (5n + 13) = 180 Reorder the terms: (23 + 4n) + (5n + 13) = 180 Remove parenthesis around (23 + 4n) 23 + 4n + (5n + 13) = 180 Reorder the terms: 23 + 4n + (13 + 5n) = 180 Remove parenthesis around (13 + 5n) 23 + 4n + 13 + 5n = 180 Reorder the terms: 23 + 13 + 4n + 5n = 180 Combine like terms: 23 + 13 = 36 36 + 4n + 5n = 180 Combine like terms: 4n + 5n = 9n 36 + 9n = 180 Solving 36 + 9n = 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 + 9n = 180 + -36 Combine like terms: 36 + -36 = 0 0 + 9n = 180 + -36 9n = 180 + -36 Combine like terms: 180 + -36 = 144 9n = 144 Divide each side by '9'. n = 16 Simplifying n = 16
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