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Simplifying -4(3n + 5) = 12n Reorder the terms: -4(5 + 3n) = 12n (5 * -4 + 3n * -4) = 12n (-20 + -12n) = 12n Solving -20 + -12n = 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. -20 + -12n + -12n = 12n + -12n Combine like terms: -12n + -12n = -24n -20 + -24n = 12n + -12n Combine like terms: 12n + -12n = 0 -20 + -24n = 0 Add '20' to each side of the equation. -20 + 20 + -24n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -24n = 0 + 20 -24n = 0 + 20 Combine like terms: 0 + 20 = 20 -24n = 20 Divide each side by '-24'. n = -0.8333333333 Simplifying n = -0.8333333333
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