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Simplifying -6(-5 + -4n) + -2 = 4(n + -8) (-5 * -6 + -4n * -6) + -2 = 4(n + -8) (30 + 24n) + -2 = 4(n + -8) Reorder the terms: 30 + -2 + 24n = 4(n + -8) Combine like terms: 30 + -2 = 28 28 + 24n = 4(n + -8) Reorder the terms: 28 + 24n = 4(-8 + n) 28 + 24n = (-8 * 4 + n * 4) 28 + 24n = (-32 + 4n) Solving 28 + 24n = -32 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 28 + 24n + -4n = -32 + 4n + -4n Combine like terms: 24n + -4n = 20n 28 + 20n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 28 + 20n = -32 + 0 28 + 20n = -32 Add '-28' to each side of the equation. 28 + -28 + 20n = -32 + -28 Combine like terms: 28 + -28 = 0 0 + 20n = -32 + -28 20n = -32 + -28 Combine like terms: -32 + -28 = -60 20n = -60 Divide each side by '20'. n = -3 Simplifying n = -3
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