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Simplifying -6(2n + -2) + 12 = 4(2n + -9) Reorder the terms: -6(-2 + 2n) + 12 = 4(2n + -9) (-2 * -6 + 2n * -6) + 12 = 4(2n + -9) (12 + -12n) + 12 = 4(2n + -9) Reorder the terms: 12 + 12 + -12n = 4(2n + -9) Combine like terms: 12 + 12 = 24 24 + -12n = 4(2n + -9) Reorder the terms: 24 + -12n = 4(-9 + 2n) 24 + -12n = (-9 * 4 + 2n * 4) 24 + -12n = (-36 + 8n) Solving 24 + -12n = -36 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 24 + -12n + -8n = -36 + 8n + -8n Combine like terms: -12n + -8n = -20n 24 + -20n = -36 + 8n + -8n Combine like terms: 8n + -8n = 0 24 + -20n = -36 + 0 24 + -20n = -36 Add '-24' to each side of the equation. 24 + -24 + -20n = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -20n = -36 + -24 -20n = -36 + -24 Combine like terms: -36 + -24 = -60 -20n = -60 Divide each side by '-20'. n = 3 Simplifying n = 3
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