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Simplifying -6(n + -8) = 4(12 + -5n) Reorder the terms: -6(-8 + n) = 4(12 + -5n) (-8 * -6 + n * -6) = 4(12 + -5n) (48 + -6n) = 4(12 + -5n) 48 + -6n = (12 * 4 + -5n * 4) 48 + -6n = (48 + -20n) Add '-48' to each side of the equation. 48 + -48 + -6n = 48 + -48 + -20n Combine like terms: 48 + -48 = 0 0 + -6n = 48 + -48 + -20n -6n = 48 + -48 + -20n Combine like terms: 48 + -48 = 0 -6n = 0 + -20n -6n = -20n Solving -6n = -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. -6n + 20n = -20n + 20n Combine like terms: -6n + 20n = 14n 14n = -20n + 20n Combine like terms: -20n + 20n = 0 14n = 0 Divide each side by '14'. n = 0 Simplifying n = 0
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