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Simplifying 12(n + 5) = (15 + 3n) Reorder the terms: 12(5 + n) = (15 + 3n) (5 * 12 + n * 12) = (15 + 3n) (60 + 12n) = (15 + 3n) Remove parenthesis around (15 + 3n) 60 + 12n = 15 + 3n Solving 60 + 12n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 60 + 12n + -3n = 15 + 3n + -3n Combine like terms: 12n + -3n = 9n 60 + 9n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 60 + 9n = 15 + 0 60 + 9n = 15 Add '-60' to each side of the equation. 60 + -60 + 9n = 15 + -60 Combine like terms: 60 + -60 = 0 0 + 9n = 15 + -60 9n = 15 + -60 Combine like terms: 15 + -60 = -45 9n = -45 Divide each side by '9'. n = -5 Simplifying n = -5
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