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Simplifying 2n(6n + 2) + -6n(-2 + 2n) = 0 Reorder the terms: 2n(2 + 6n) + -6n(-2 + 2n) = 0 (2 * 2n + 6n * 2n) + -6n(-2 + 2n) = 0 (4n + 12n2) + -6n(-2 + 2n) = 0 4n + 12n2 + (-2 * -6n + 2n * -6n) = 0 4n + 12n2 + (12n + -12n2) = 0 Reorder the terms: 4n + 12n + 12n2 + -12n2 = 0 Combine like terms: 4n + 12n = 16n 16n + 12n2 + -12n2 = 0 Combine like terms: 12n2 + -12n2 = 0 16n + 0 = 0 16n = 0 Solving 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '16'. n = 0 Simplifying n = 0
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