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Simplifying -12(-9 + 3n) = -4(7 + 11n) (-9 * -12 + 3n * -12) = -4(7 + 11n) (108 + -36n) = -4(7 + 11n) 108 + -36n = (7 * -4 + 11n * -4) 108 + -36n = (-28 + -44n) Solving 108 + -36n = -28 + -44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44n' to each side of the equation. 108 + -36n + 44n = -28 + -44n + 44n Combine like terms: -36n + 44n = 8n 108 + 8n = -28 + -44n + 44n Combine like terms: -44n + 44n = 0 108 + 8n = -28 + 0 108 + 8n = -28 Add '-108' to each side of the equation. 108 + -108 + 8n = -28 + -108 Combine like terms: 108 + -108 = 0 0 + 8n = -28 + -108 8n = -28 + -108 Combine like terms: -28 + -108 = -136 8n = -136 Divide each side by '8'. n = -17 Simplifying n = -17
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