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Simplifying -12n + 6 = 3(4n + 2) Reorder the terms: 6 + -12n = 3(4n + 2) Reorder the terms: 6 + -12n = 3(2 + 4n) 6 + -12n = (2 * 3 + 4n * 3) 6 + -12n = (6 + 12n) Add '-6' to each side of the equation. 6 + -6 + -12n = 6 + -6 + 12n Combine like terms: 6 + -6 = 0 0 + -12n = 6 + -6 + 12n -12n = 6 + -6 + 12n Combine like terms: 6 + -6 = 0 -12n = 0 + 12n -12n = 12n Solving -12n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -12n + -12n = 12n + -12n Combine like terms: -12n + -12n = -24n -24n = 12n + -12n Combine like terms: 12n + -12n = 0 -24n = 0 Divide each side by '-24'. n = 0 Simplifying n = 0
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