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Simplifying -5(6n + -5) = -4n + -27 Reorder the terms: -5(-5 + 6n) = -4n + -27 (-5 * -5 + 6n * -5) = -4n + -27 (25 + -30n) = -4n + -27 Reorder the terms: 25 + -30n = -27 + -4n Solving 25 + -30n = -27 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 25 + -30n + 4n = -27 + -4n + 4n Combine like terms: -30n + 4n = -26n 25 + -26n = -27 + -4n + 4n Combine like terms: -4n + 4n = 0 25 + -26n = -27 + 0 25 + -26n = -27 Add '-25' to each side of the equation. 25 + -25 + -26n = -27 + -25 Combine like terms: 25 + -25 = 0 0 + -26n = -27 + -25 -26n = -27 + -25 Combine like terms: -27 + -25 = -52 -26n = -52 Divide each side by '-26'. n = 2 Simplifying n = 2
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