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Simplifying 9z + 24 = -32z Reorder the terms: 24 + 9z = -32z Solving 24 + 9z = -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. 24 + 9z + 32z = -32z + 32z Combine like terms: 9z + 32z = 41z 24 + 41z = -32z + 32z Combine like terms: -32z + 32z = 0 24 + 41z = 0 Add '-24' to each side of the equation. 24 + -24 + 41z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 41z = 0 + -24 41z = 0 + -24 Combine like terms: 0 + -24 = -24 41z = -24 Divide each side by '41'. z = -0.5853658537 Simplifying z = -0.5853658537
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