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Simplifying (3n + 19) + (4n + 21) = 180 Reorder the terms: (19 + 3n) + (4n + 21) = 180 Remove parenthesis around (19 + 3n) 19 + 3n + (4n + 21) = 180 Reorder the terms: 19 + 3n + (21 + 4n) = 180 Remove parenthesis around (21 + 4n) 19 + 3n + 21 + 4n = 180 Reorder the terms: 19 + 21 + 3n + 4n = 180 Combine like terms: 19 + 21 = 40 40 + 3n + 4n = 180 Combine like terms: 3n + 4n = 7n 40 + 7n = 180 Solving 40 + 7n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7n = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 7n = 180 + -40 7n = 180 + -40 Combine like terms: 180 + -40 = 140 7n = 140 Divide each side by '7'. n = 20 Simplifying n = 20
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