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Simplifying 0.4 = -32z Solving 0.4 = -32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32z' to each side of the equation. 0.4 + 32z = -32z + 32z Combine like terms: -32z + 32z = 0 0.4 + 32z = 0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 32z = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 32z = 0 + -0.4 32z = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 32z = -0.4 Divide each side by '32'. z = -0.0125 Simplifying z = -0.0125
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