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Simplifying (9n + 12) = (15n + -6) Reorder the terms: (12 + 9n) = (15n + -6) Remove parenthesis around (12 + 9n) 12 + 9n = (15n + -6) Reorder the terms: 12 + 9n = (-6 + 15n) Remove parenthesis around (-6 + 15n) 12 + 9n = -6 + 15n Solving 12 + 9n = -6 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 12 + 9n + -15n = -6 + 15n + -15n Combine like terms: 9n + -15n = -6n 12 + -6n = -6 + 15n + -15n Combine like terms: 15n + -15n = 0 12 + -6n = -6 + 0 12 + -6n = -6 Add '-12' to each side of the equation. 12 + -12 + -6n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = -6 + -12 -6n = -6 + -12 Combine like terms: -6 + -12 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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