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Simplifying 0.416666 = -0.5z Solving 0.416666 = -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. 0.416666 + 0.5z = -0.5z + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 0.416666 + 0.5z = 0.0 Add '-0.416666' to each side of the equation. 0.416666 + -0.416666 + 0.5z = 0.0 + -0.416666 Combine like terms: 0.416666 + -0.416666 = 0.000000 0.000000 + 0.5z = 0.0 + -0.416666 0.5z = 0.0 + -0.416666 Combine like terms: 0.0 + -0.416666 = -0.416666 0.5z = -0.416666 Divide each side by '0.5'. z = -0.833332 Simplifying z = -0.833332
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