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Simplifying 6z = 4(0.5z + -8) Reorder the terms: 6z = 4(-8 + 0.5z) 6z = (-8 * 4 + 0.5z * 4) 6z = (-32 + 2z) Solving 6z = -32 + 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. 6z + -2z = -32 + 2z + -2z Combine like terms: 6z + -2z = 4z 4z = -32 + 2z + -2z Combine like terms: 2z + -2z = 0 4z = -32 + 0 4z = -32 Divide each side by '4'. z = -8 Simplifying z = -8
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