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Simplifying -6(1 + -1n) + -2 = -5(-4 + -4n) (1 * -6 + -1n * -6) + -2 = -5(-4 + -4n) (-6 + 6n) + -2 = -5(-4 + -4n) Reorder the terms: -6 + -2 + 6n = -5(-4 + -4n) Combine like terms: -6 + -2 = -8 -8 + 6n = -5(-4 + -4n) -8 + 6n = (-4 * -5 + -4n * -5) -8 + 6n = (20 + 20n) Solving -8 + 6n = 20 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -8 + 6n + -20n = 20 + 20n + -20n Combine like terms: 6n + -20n = -14n -8 + -14n = 20 + 20n + -20n Combine like terms: 20n + -20n = 0 -8 + -14n = 20 + 0 -8 + -14n = 20 Add '8' to each side of the equation. -8 + 8 + -14n = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -14n = 20 + 8 -14n = 20 + 8 Combine like terms: 20 + 8 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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