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Simplifying -4(1 + -4n) + -2n = 3(4n + -2) (1 * -4 + -4n * -4) + -2n = 3(4n + -2) (-4 + 16n) + -2n = 3(4n + -2) Combine like terms: 16n + -2n = 14n -4 + 14n = 3(4n + -2) Reorder the terms: -4 + 14n = 3(-2 + 4n) -4 + 14n = (-2 * 3 + 4n * 3) -4 + 14n = (-6 + 12n) Solving -4 + 14n = -6 + 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. -4 + 14n + -12n = -6 + 12n + -12n Combine like terms: 14n + -12n = 2n -4 + 2n = -6 + 12n + -12n Combine like terms: 12n + -12n = 0 -4 + 2n = -6 + 0 -4 + 2n = -6 Add '4' to each side of the equation. -4 + 4 + 2n = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = -6 + 4 2n = -6 + 4 Combine like terms: -6 + 4 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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