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Simplifying -11n + -9(-12 + -2n) = 9(n + 2) + 8n -11n + (-12 * -9 + -2n * -9) = 9(n + 2) + 8n -11n + (108 + 18n) = 9(n + 2) + 8n Reorder the terms: 108 + -11n + 18n = 9(n + 2) + 8n Combine like terms: -11n + 18n = 7n 108 + 7n = 9(n + 2) + 8n Reorder the terms: 108 + 7n = 9(2 + n) + 8n 108 + 7n = (2 * 9 + n * 9) + 8n 108 + 7n = (18 + 9n) + 8n Combine like terms: 9n + 8n = 17n 108 + 7n = 18 + 17n Solving 108 + 7n = 18 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 108 + 7n + -17n = 18 + 17n + -17n Combine like terms: 7n + -17n = -10n 108 + -10n = 18 + 17n + -17n Combine like terms: 17n + -17n = 0 108 + -10n = 18 + 0 108 + -10n = 18 Add '-108' to each side of the equation. 108 + -108 + -10n = 18 + -108 Combine like terms: 108 + -108 = 0 0 + -10n = 18 + -108 -10n = 18 + -108 Combine like terms: 18 + -108 = -90 -10n = -90 Divide each side by '-10'. n = 9 Simplifying n = 9
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