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Simplifying -26 = -4(5 + -5n) + -6(n + -6) -26 = (5 * -4 + -5n * -4) + -6(n + -6) -26 = (-20 + 20n) + -6(n + -6) Reorder the terms: -26 = -20 + 20n + -6(-6 + n) -26 = -20 + 20n + (-6 * -6 + n * -6) -26 = -20 + 20n + (36 + -6n) Reorder the terms: -26 = -20 + 36 + 20n + -6n Combine like terms: -20 + 36 = 16 -26 = 16 + 20n + -6n Combine like terms: 20n + -6n = 14n -26 = 16 + 14n Solving -26 = 16 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -26 + -14n = 16 + 14n + -14n Combine like terms: 14n + -14n = 0 -26 + -14n = 16 + 0 -26 + -14n = 16 Add '26' to each side of the equation. -26 + 26 + -14n = 16 + 26 Combine like terms: -26 + 26 = 0 0 + -14n = 16 + 26 -14n = 16 + 26 Combine like terms: 16 + 26 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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