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Simplifying -5(4n + -6) = -26 + -6n Reorder the terms: -5(-6 + 4n) = -26 + -6n (-6 * -5 + 4n * -5) = -26 + -6n (30 + -20n) = -26 + -6n Solving 30 + -20n = -26 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 30 + -20n + 6n = -26 + -6n + 6n Combine like terms: -20n + 6n = -14n 30 + -14n = -26 + -6n + 6n Combine like terms: -6n + 6n = 0 30 + -14n = -26 + 0 30 + -14n = -26 Add '-30' to each side of the equation. 30 + -30 + -14n = -26 + -30 Combine like terms: 30 + -30 = 0 0 + -14n = -26 + -30 -14n = -26 + -30 Combine like terms: -26 + -30 = -56 -14n = -56 Divide each side by '-14'. n = 4 Simplifying n = 4
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