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Simplifying 6z = (0.5z + -8) Reorder the terms: 6z = (-8 + 0.5z) Remove parenthesis around (-8 + 0.5z) 6z = -8 + 0.5z Solving 6z = -8 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. 6z + -0.5z = -8 + 0.5z + -0.5z Combine like terms: 6z + -0.5z = 5.5z 5.5z = -8 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 5.5z = -8 + 0.0 5.5z = -8 Divide each side by '5.5'. z = -1.454545455 Simplifying z = -1.454545455
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