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Simplifying -9(-2n + -5) + 11 = 7n + 8n + -4 Reorder the terms: -9(-5 + -2n) + 11 = 7n + 8n + -4 (-5 * -9 + -2n * -9) + 11 = 7n + 8n + -4 (45 + 18n) + 11 = 7n + 8n + -4 Reorder the terms: 45 + 11 + 18n = 7n + 8n + -4 Combine like terms: 45 + 11 = 56 56 + 18n = 7n + 8n + -4 Reorder the terms: 56 + 18n = -4 + 7n + 8n Combine like terms: 7n + 8n = 15n 56 + 18n = -4 + 15n Solving 56 + 18n = -4 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 56 + 18n + -15n = -4 + 15n + -15n Combine like terms: 18n + -15n = 3n 56 + 3n = -4 + 15n + -15n Combine like terms: 15n + -15n = 0 56 + 3n = -4 + 0 56 + 3n = -4 Add '-56' to each side of the equation. 56 + -56 + 3n = -4 + -56 Combine like terms: 56 + -56 = 0 0 + 3n = -4 + -56 3n = -4 + -56 Combine like terms: -4 + -56 = -60 3n = -60 Divide each side by '3'. n = -20 Simplifying n = -20
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