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Simplifying (n + 4) + (3n + 5) + 46 = 180 Reorder the terms: (4 + n) + (3n + 5) + 46 = 180 Remove parenthesis around (4 + n) 4 + n + (3n + 5) + 46 = 180 Reorder the terms: 4 + n + (5 + 3n) + 46 = 180 Remove parenthesis around (5 + 3n) 4 + n + 5 + 3n + 46 = 180 Reorder the terms: 4 + 5 + 46 + n + 3n = 180 Combine like terms: 4 + 5 = 9 9 + 46 + n + 3n = 180 Combine like terms: 9 + 46 = 55 55 + n + 3n = 180 Combine like terms: n + 3n = 4n 55 + 4n = 180 Solving 55 + 4n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 4n = 180 + -55 Combine like terms: 55 + -55 = 0 0 + 4n = 180 + -55 4n = 180 + -55 Combine like terms: 180 + -55 = 125 4n = 125 Divide each side by '4'. n = 31.25 Simplifying n = 31.25
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