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Simplifying (3n + -45) + (2n + 15) = 180 Reorder the terms: (-45 + 3n) + (2n + 15) = 180 Remove parenthesis around (-45 + 3n) -45 + 3n + (2n + 15) = 180 Reorder the terms: -45 + 3n + (15 + 2n) = 180 Remove parenthesis around (15 + 2n) -45 + 3n + 15 + 2n = 180 Reorder the terms: -45 + 15 + 3n + 2n = 180 Combine like terms: -45 + 15 = -30 -30 + 3n + 2n = 180 Combine like terms: 3n + 2n = 5n -30 + 5n = 180 Solving -30 + 5n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5n = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 5n = 180 + 30 5n = 180 + 30 Combine like terms: 180 + 30 = 210 5n = 210 Divide each side by '5'. n = 42 Simplifying n = 42
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