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Simplifying -4(n + -6) = -6(4n + 8) + -8 Reorder the terms: -4(-6 + n) = -6(4n + 8) + -8 (-6 * -4 + n * -4) = -6(4n + 8) + -8 (24 + -4n) = -6(4n + 8) + -8 Reorder the terms: 24 + -4n = -6(8 + 4n) + -8 24 + -4n = (8 * -6 + 4n * -6) + -8 24 + -4n = (-48 + -24n) + -8 Reorder the terms: 24 + -4n = -48 + -8 + -24n Combine like terms: -48 + -8 = -56 24 + -4n = -56 + -24n Solving 24 + -4n = -56 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 24 + -4n + 24n = -56 + -24n + 24n Combine like terms: -4n + 24n = 20n 24 + 20n = -56 + -24n + 24n Combine like terms: -24n + 24n = 0 24 + 20n = -56 + 0 24 + 20n = -56 Add '-24' to each side of the equation. 24 + -24 + 20n = -56 + -24 Combine like terms: 24 + -24 = 0 0 + 20n = -56 + -24 20n = -56 + -24 Combine like terms: -56 + -24 = -80 20n = -80 Divide each side by '20'. n = -4 Simplifying n = -4
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