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Simplifying 11(10n + 8) = -12(-2 + -3n) + -10 Reorder the terms: 11(8 + 10n) = -12(-2 + -3n) + -10 (8 * 11 + 10n * 11) = -12(-2 + -3n) + -10 (88 + 110n) = -12(-2 + -3n) + -10 88 + 110n = (-2 * -12 + -3n * -12) + -10 88 + 110n = (24 + 36n) + -10 Reorder the terms: 88 + 110n = 24 + -10 + 36n Combine like terms: 24 + -10 = 14 88 + 110n = 14 + 36n Solving 88 + 110n = 14 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 88 + 110n + -36n = 14 + 36n + -36n Combine like terms: 110n + -36n = 74n 88 + 74n = 14 + 36n + -36n Combine like terms: 36n + -36n = 0 88 + 74n = 14 + 0 88 + 74n = 14 Add '-88' to each side of the equation. 88 + -88 + 74n = 14 + -88 Combine like terms: 88 + -88 = 0 0 + 74n = 14 + -88 74n = 14 + -88 Combine like terms: 14 + -88 = -74 74n = -74 Divide each side by '74'. n = -1 Simplifying n = -1
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