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Simplifying -11(n + -10) = 4 + -9(-5 + 8n) Reorder the terms: -11(-10 + n) = 4 + -9(-5 + 8n) (-10 * -11 + n * -11) = 4 + -9(-5 + 8n) (110 + -11n) = 4 + -9(-5 + 8n) 110 + -11n = 4 + (-5 * -9 + 8n * -9) 110 + -11n = 4 + (45 + -72n) Combine like terms: 4 + 45 = 49 110 + -11n = 49 + -72n Solving 110 + -11n = 49 + -72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '72n' to each side of the equation. 110 + -11n + 72n = 49 + -72n + 72n Combine like terms: -11n + 72n = 61n 110 + 61n = 49 + -72n + 72n Combine like terms: -72n + 72n = 0 110 + 61n = 49 + 0 110 + 61n = 49 Add '-110' to each side of the equation. 110 + -110 + 61n = 49 + -110 Combine like terms: 110 + -110 = 0 0 + 61n = 49 + -110 61n = 49 + -110 Combine like terms: 49 + -110 = -61 61n = -61 Divide each side by '61'. n = -1 Simplifying n = -1
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