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Simplifying -6(-4n + 5) = 6(2n + -5) Reorder the terms: -6(5 + -4n) = 6(2n + -5) (5 * -6 + -4n * -6) = 6(2n + -5) (-30 + 24n) = 6(2n + -5) Reorder the terms: -30 + 24n = 6(-5 + 2n) -30 + 24n = (-5 * 6 + 2n * 6) -30 + 24n = (-30 + 12n) Add '30' to each side of the equation. -30 + 30 + 24n = -30 + 30 + 12n Combine like terms: -30 + 30 = 0 0 + 24n = -30 + 30 + 12n 24n = -30 + 30 + 12n Combine like terms: -30 + 30 = 0 24n = 0 + 12n 24n = 12n Solving 24n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 24n + -12n = 12n + -12n Combine like terms: 24n + -12n = 12n 12n = 12n + -12n Combine like terms: 12n + -12n = 0 12n = 0 Divide each side by '12'. n = 0 Simplifying n = 0
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