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Simplifying -11(n + -10) = -5(n + 2) Reorder the terms: -11(-10 + n) = -5(n + 2) (-10 * -11 + n * -11) = -5(n + 2) (110 + -11n) = -5(n + 2) Reorder the terms: 110 + -11n = -5(2 + n) 110 + -11n = (2 * -5 + n * -5) 110 + -11n = (-10 + -5n) Solving 110 + -11n = -10 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 110 + -11n + 5n = -10 + -5n + 5n Combine like terms: -11n + 5n = -6n 110 + -6n = -10 + -5n + 5n Combine like terms: -5n + 5n = 0 110 + -6n = -10 + 0 110 + -6n = -10 Add '-110' to each side of the equation. 110 + -110 + -6n = -10 + -110 Combine like terms: 110 + -110 = 0 0 + -6n = -10 + -110 -6n = -10 + -110 Combine like terms: -10 + -110 = -120 -6n = -120 Divide each side by '-6'. n = 20 Simplifying n = 20
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