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Simplifying -2(6 + -4n) = -2(2n + -6) (6 * -2 + -4n * -2) = -2(2n + -6) (-12 + 8n) = -2(2n + -6) Reorder the terms: -12 + 8n = -2(-6 + 2n) -12 + 8n = (-6 * -2 + 2n * -2) -12 + 8n = (12 + -4n) Solving -12 + 8n = 12 + -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. -12 + 8n + 4n = 12 + -4n + 4n Combine like terms: 8n + 4n = 12n -12 + 12n = 12 + -4n + 4n Combine like terms: -4n + 4n = 0 -12 + 12n = 12 + 0 -12 + 12n = 12 Add '12' to each side of the equation. -12 + 12 + 12n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12n = 12 + 12 12n = 12 + 12 Combine like terms: 12 + 12 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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