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Simplifying 0.25z + 0.666667 = 0.5z + -0.75 Reorder the terms: 0.666667 + 0.25z = 0.5z + -0.75 Reorder the terms: 0.666667 + 0.25z = -0.75 + 0.5z Solving 0.666667 + 0.25z = -0.75 + 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. 0.666667 + 0.25z + -0.5z = -0.75 + 0.5z + -0.5z Combine like terms: 0.25z + -0.5z = -0.25z 0.666667 + -0.25z = -0.75 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 0.666667 + -0.25z = -0.75 + 0.0 0.666667 + -0.25z = -0.75 Add '-0.666667' to each side of the equation. 0.666667 + -0.666667 + -0.25z = -0.75 + -0.666667 Combine like terms: 0.666667 + -0.666667 = 0.000000 0.000000 + -0.25z = -0.75 + -0.666667 -0.25z = -0.75 + -0.666667 Combine like terms: -0.75 + -0.666667 = -1.416667 -0.25z = -1.416667 Divide each side by '-0.25'. z = 5.666668 Simplifying z = 5.666668
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