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Simplifying 3(4n + 2) = 6 + -4n Reorder the terms: 3(2 + 4n) = 6 + -4n (2 * 3 + 4n * 3) = 6 + -4n (6 + 12n) = 6 + -4n Add '-6' to each side of the equation. 6 + -6 + 12n = 6 + -6 + -4n Combine like terms: 6 + -6 = 0 0 + 12n = 6 + -6 + -4n 12n = 6 + -6 + -4n Combine like terms: 6 + -6 = 0 12n = 0 + -4n 12n = -4n Solving 12n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 12n + 4n = -4n + 4n Combine like terms: 12n + 4n = 16n 16n = -4n + 4n Combine like terms: -4n + 4n = 0 16n = 0 Divide each side by '16'. n = 0 Simplifying n = 0
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