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Simplifying 0.8z = 0.2z + -4 + 6 Reorder the terms: 0.8z = -4 + 6 + 0.2z Combine like terms: -4 + 6 = 2 0.8z = 2 + 0.2z Solving 0.8z = 2 + 0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.2z' to each side of the equation. 0.8z + -0.2z = 2 + 0.2z + -0.2z Combine like terms: 0.8z + -0.2z = 0.6z 0.6z = 2 + 0.2z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 0.6z = 2 + 0.0 0.6z = 2 Divide each side by '0.6'. z = 3.333333333 Simplifying z = 3.333333333
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