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Simplifying 8 = -4(-6 + -2z) 8 = (-6 * -4 + -2z * -4) 8 = (24 + 8z) Solving 8 = 24 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 8 + -8z = 24 + 8z + -8z Combine like terms: 8z + -8z = 0 8 + -8z = 24 + 0 8 + -8z = 24 Add '-8' to each side of the equation. 8 + -8 + -8z = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -8z = 24 + -8 -8z = 24 + -8 Combine like terms: 24 + -8 = 16 -8z = 16 Divide each side by '-8'. z = -2 Simplifying z = -2
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