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Simplifying -4(-6 + -2z) = 4z (-6 * -4 + -2z * -4) = 4z (24 + 8z) = 4z Solving 24 + 8z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 24 + 8z + -4z = 4z + -4z Combine like terms: 8z + -4z = 4z 24 + 4z = 4z + -4z Combine like terms: 4z + -4z = 0 24 + 4z = 0 Add '-24' to each side of the equation. 24 + -24 + 4z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = 0 + -24 4z = 0 + -24 Combine like terms: 0 + -24 = -24 4z = -24 Divide each side by '4'. z = -6 Simplifying z = -6
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