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Simplifying -8(11n + -11) = -12(8n + -6) Reorder the terms: -8(-11 + 11n) = -12(8n + -6) (-11 * -8 + 11n * -8) = -12(8n + -6) (88 + -88n) = -12(8n + -6) Reorder the terms: 88 + -88n = -12(-6 + 8n) 88 + -88n = (-6 * -12 + 8n * -12) 88 + -88n = (72 + -96n) Solving 88 + -88n = 72 + -96n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '96n' to each side of the equation. 88 + -88n + 96n = 72 + -96n + 96n Combine like terms: -88n + 96n = 8n 88 + 8n = 72 + -96n + 96n Combine like terms: -96n + 96n = 0 88 + 8n = 72 + 0 88 + 8n = 72 Add '-88' to each side of the equation. 88 + -88 + 8n = 72 + -88 Combine like terms: 88 + -88 = 0 0 + 8n = 72 + -88 8n = 72 + -88 Combine like terms: 72 + -88 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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