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Simplifying -0.2z + 0.6667 = 2 Reorder the terms: 0.6667 + -0.2z = 2 Solving 0.6667 + -0.2z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.6667' to each side of the equation. 0.6667 + -0.6667 + -0.2z = 2 + -0.6667 Combine like terms: 0.6667 + -0.6667 = 0.0000 0.0000 + -0.2z = 2 + -0.6667 -0.2z = 2 + -0.6667 Combine like terms: 2 + -0.6667 = 1.3333 -0.2z = 1.3333 Divide each side by '-0.2'. z = -6.6665 Simplifying z = -6.6665
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