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Simplifying (4n + 18) + (5n + 27) = 180 Reorder the terms: (18 + 4n) + (5n + 27) = 180 Remove parenthesis around (18 + 4n) 18 + 4n + (5n + 27) = 180 Reorder the terms: 18 + 4n + (27 + 5n) = 180 Remove parenthesis around (27 + 5n) 18 + 4n + 27 + 5n = 180 Reorder the terms: 18 + 27 + 4n + 5n = 180 Combine like terms: 18 + 27 = 45 45 + 4n + 5n = 180 Combine like terms: 4n + 5n = 9n 45 + 9n = 180 Solving 45 + 9n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9n = 180 + -45 Combine like terms: 45 + -45 = 0 0 + 9n = 180 + -45 9n = 180 + -45 Combine like terms: 180 + -45 = 135 9n = 135 Divide each side by '9'. n = 15 Simplifying n = 15
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