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Simplifying -6(4 + -1n) = 12n (4 * -6 + -1n * -6) = 12n (-24 + 6n) = 12n Solving -24 + 6n = 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. -24 + 6n + -12n = 12n + -12n Combine like terms: 6n + -12n = -6n -24 + -6n = 12n + -12n Combine like terms: 12n + -12n = 0 -24 + -6n = 0 Add '24' to each side of the equation. -24 + 24 + -6n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6n = 0 + 24 -6n = 0 + 24 Combine like terms: 0 + 24 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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