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Simplifying (4n + 19) + (5n + 35) = 180 Reorder the terms: (19 + 4n) + (5n + 35) = 180 Remove parenthesis around (19 + 4n) 19 + 4n + (5n + 35) = 180 Reorder the terms: 19 + 4n + (35 + 5n) = 180 Remove parenthesis around (35 + 5n) 19 + 4n + 35 + 5n = 180 Reorder the terms: 19 + 35 + 4n + 5n = 180 Combine like terms: 19 + 35 = 54 54 + 4n + 5n = 180 Combine like terms: 4n + 5n = 9n 54 + 9n = 180 Solving 54 + 9n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 9n = 180 + -54 Combine like terms: 54 + -54 = 0 0 + 9n = 180 + -54 9n = 180 + -54 Combine like terms: 180 + -54 = 126 9n = 126 Divide each side by '9'. n = 14 Simplifying n = 14
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