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Simplifying -12(1 + 8n) = 8n + -9(11n + -12) (1 * -12 + 8n * -12) = 8n + -9(11n + -12) (-12 + -96n) = 8n + -9(11n + -12) Reorder the terms: -12 + -96n = 8n + -9(-12 + 11n) -12 + -96n = 8n + (-12 * -9 + 11n * -9) -12 + -96n = 8n + (108 + -99n) Reorder the terms: -12 + -96n = 108 + 8n + -99n Combine like terms: 8n + -99n = -91n -12 + -96n = 108 + -91n Solving -12 + -96n = 108 + -91n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '91n' to each side of the equation. -12 + -96n + 91n = 108 + -91n + 91n Combine like terms: -96n + 91n = -5n -12 + -5n = 108 + -91n + 91n Combine like terms: -91n + 91n = 0 -12 + -5n = 108 + 0 -12 + -5n = 108 Add '12' to each side of the equation. -12 + 12 + -5n = 108 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = 108 + 12 -5n = 108 + 12 Combine like terms: 108 + 12 = 120 -5n = 120 Divide each side by '-5'. n = -24 Simplifying n = -24
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