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Simplifying -2(-4 + -2z) = 2z (-4 * -2 + -2z * -2) = 2z (8 + 4z) = 2z Solving 8 + 4z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 8 + 4z + -2z = 2z + -2z Combine like terms: 4z + -2z = 2z 8 + 2z = 2z + -2z Combine like terms: 2z + -2z = 0 8 + 2z = 0 Add '-8' to each side of the equation. 8 + -8 + 2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 0 + -8 2z = 0 + -8 Combine like terms: 0 + -8 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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