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Simplifying 0.4 = -10z Solving 0.4 = -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 0.4 + 10z = -10z + 10z Combine like terms: -10z + 10z = 0 0.4 + 10z = 0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 10z = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 10z = 0 + -0.4 10z = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 10z = -0.4 Divide each side by '10'. z = -0.04 Simplifying z = -0.04
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