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Simplifying (3n + -45) = (2n + 15) Reorder the terms: (-45 + 3n) = (2n + 15) Remove parenthesis around (-45 + 3n) -45 + 3n = (2n + 15) Reorder the terms: -45 + 3n = (15 + 2n) Remove parenthesis around (15 + 2n) -45 + 3n = 15 + 2n Solving -45 + 3n = 15 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -45 + 3n + -2n = 15 + 2n + -2n Combine like terms: 3n + -2n = 1n -45 + 1n = 15 + 2n + -2n Combine like terms: 2n + -2n = 0 -45 + 1n = 15 + 0 -45 + 1n = 15 Add '45' to each side of the equation. -45 + 45 + 1n = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 1n = 15 + 45 1n = 15 + 45 Combine like terms: 15 + 45 = 60 1n = 60 Divide each side by '1'. n = 60 Simplifying n = 60
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