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Simplifying (3n + 5) + (n + 5) = 46 Reorder the terms: (5 + 3n) + (n + 5) = 46 Remove parenthesis around (5 + 3n) 5 + 3n + (n + 5) = 46 Reorder the terms: 5 + 3n + (5 + n) = 46 Remove parenthesis around (5 + n) 5 + 3n + 5 + n = 46 Reorder the terms: 5 + 5 + 3n + n = 46 Combine like terms: 5 + 5 = 10 10 + 3n + n = 46 Combine like terms: 3n + n = 4n 10 + 4n = 46 Solving 10 + 4n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4n = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = 46 + -10 4n = 46 + -10 Combine like terms: 46 + -10 = 36 4n = 36 Divide each side by '4'. n = 9 Simplifying n = 9
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