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Simplifying 0.4 = -8z Solving 0.4 = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 0.4 + 8z = -8z + 8z Combine like terms: -8z + 8z = 0 0.4 + 8z = 0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 8z = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 8z = 0 + -0.4 8z = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 8z = -0.4 Divide each side by '8'. z = -0.05 Simplifying z = -0.05
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