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Simplifying -6(4n + -5) = -3n + -12 Reorder the terms: -6(-5 + 4n) = -3n + -12 (-5 * -6 + 4n * -6) = -3n + -12 (30 + -24n) = -3n + -12 Reorder the terms: 30 + -24n = -12 + -3n Solving 30 + -24n = -12 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 30 + -24n + 3n = -12 + -3n + 3n Combine like terms: -24n + 3n = -21n 30 + -21n = -12 + -3n + 3n Combine like terms: -3n + 3n = 0 30 + -21n = -12 + 0 30 + -21n = -12 Add '-30' to each side of the equation. 30 + -30 + -21n = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -21n = -12 + -30 -21n = -12 + -30 Combine like terms: -12 + -30 = -42 -21n = -42 Divide each side by '-21'. n = 2 Simplifying n = 2
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