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Simplifying -4(1 + -4n) = 20 + 4n (1 * -4 + -4n * -4) = 20 + 4n (-4 + 16n) = 20 + 4n Solving -4 + 16n = 20 + 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. -4 + 16n + -4n = 20 + 4n + -4n Combine like terms: 16n + -4n = 12n -4 + 12n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 -4 + 12n = 20 + 0 -4 + 12n = 20 Add '4' to each side of the equation. -4 + 4 + 12n = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 12n = 20 + 4 12n = 20 + 4 Combine like terms: 20 + 4 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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