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Simplifying 2(3n + 6) = 3(12 + -2n) Reorder the terms: 2(6 + 3n) = 3(12 + -2n) (6 * 2 + 3n * 2) = 3(12 + -2n) (12 + 6n) = 3(12 + -2n) 12 + 6n = (12 * 3 + -2n * 3) 12 + 6n = (36 + -6n) Solving 12 + 6n = 36 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 12 + 6n + 6n = 36 + -6n + 6n Combine like terms: 6n + 6n = 12n 12 + 12n = 36 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + 12n = 36 + 0 12 + 12n = 36 Add '-12' to each side of the equation. 12 + -12 + 12n = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 12n = 36 + -12 12n = 36 + -12 Combine like terms: 36 + -12 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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