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Simplifying 4(3n + 2) = 2(4 + -3n) Reorder the terms: 4(2 + 3n) = 2(4 + -3n) (2 * 4 + 3n * 4) = 2(4 + -3n) (8 + 12n) = 2(4 + -3n) 8 + 12n = (4 * 2 + -3n * 2) 8 + 12n = (8 + -6n) Add '-8' to each side of the equation. 8 + -8 + 12n = 8 + -8 + -6n Combine like terms: 8 + -8 = 0 0 + 12n = 8 + -8 + -6n 12n = 8 + -8 + -6n Combine like terms: 8 + -8 = 0 12n = 0 + -6n 12n = -6n Solving 12n = -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. 12n + 6n = -6n + 6n Combine like terms: 12n + 6n = 18n 18n = -6n + 6n Combine like terms: -6n + 6n = 0 18n = 0 Divide each side by '18'. n = 0 Simplifying n = 0
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