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Simplifying 0.42 = -0.5z Solving 0.42 = -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. 0.42 + 0.5z = -0.5z + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 0.42 + 0.5z = 0.0 Add '-0.42' to each side of the equation. 0.42 + -0.42 + 0.5z = 0.0 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 0.5z = 0.0 + -0.42 0.5z = 0.0 + -0.42 Combine like terms: 0.0 + -0.42 = -0.42 0.5z = -0.42 Divide each side by '0.5'. z = -0.84 Simplifying z = -0.84
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