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Simplifying -4 + 2(12 + -3n) = -11(5 + n) -4 + (12 * 2 + -3n * 2) = -11(5 + n) -4 + (24 + -6n) = -11(5 + n) Combine like terms: -4 + 24 = 20 20 + -6n = -11(5 + n) 20 + -6n = (5 * -11 + n * -11) 20 + -6n = (-55 + -11n) Solving 20 + -6n = -55 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 20 + -6n + 11n = -55 + -11n + 11n Combine like terms: -6n + 11n = 5n 20 + 5n = -55 + -11n + 11n Combine like terms: -11n + 11n = 0 20 + 5n = -55 + 0 20 + 5n = -55 Add '-20' to each side of the equation. 20 + -20 + 5n = -55 + -20 Combine like terms: 20 + -20 = 0 0 + 5n = -55 + -20 5n = -55 + -20 Combine like terms: -55 + -20 = -75 5n = -75 Divide each side by '5'. n = -15 Simplifying n = -15
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