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Simplifying -2(-8 + -2n) + 2n = -4 + -2(1 + -2n) (-8 * -2 + -2n * -2) + 2n = -4 + -2(1 + -2n) (16 + 4n) + 2n = -4 + -2(1 + -2n) Combine like terms: 4n + 2n = 6n 16 + 6n = -4 + -2(1 + -2n) 16 + 6n = -4 + (1 * -2 + -2n * -2) 16 + 6n = -4 + (-2 + 4n) Combine like terms: -4 + -2 = -6 16 + 6n = -6 + 4n Solving 16 + 6n = -6 + 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. 16 + 6n + -4n = -6 + 4n + -4n Combine like terms: 6n + -4n = 2n 16 + 2n = -6 + 4n + -4n Combine like terms: 4n + -4n = 0 16 + 2n = -6 + 0 16 + 2n = -6 Add '-16' to each side of the equation. 16 + -16 + 2n = -6 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = -6 + -16 2n = -6 + -16 Combine like terms: -6 + -16 = -22 2n = -22 Divide each side by '2'. n = -11 Simplifying n = -11
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