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Simplifying (3n + 21) + (4n + 40) = 180 Reorder the terms: (21 + 3n) + (4n + 40) = 180 Remove parenthesis around (21 + 3n) 21 + 3n + (4n + 40) = 180 Reorder the terms: 21 + 3n + (40 + 4n) = 180 Remove parenthesis around (40 + 4n) 21 + 3n + 40 + 4n = 180 Reorder the terms: 21 + 40 + 3n + 4n = 180 Combine like terms: 21 + 40 = 61 61 + 3n + 4n = 180 Combine like terms: 3n + 4n = 7n 61 + 7n = 180 Solving 61 + 7n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 7n = 180 + -61 Combine like terms: 61 + -61 = 0 0 + 7n = 180 + -61 7n = 180 + -61 Combine like terms: 180 + -61 = 119 7n = 119 Divide each side by '7'. n = 17 Simplifying n = 17
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