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Simplifying 32z + -32 = -5z + -32 Reorder the terms: -32 + 32z = -5z + -32 Reorder the terms: -32 + 32z = -32 + -5z Add '32' to each side of the equation. -32 + 32 + 32z = -32 + 32 + -5z Combine like terms: -32 + 32 = 0 0 + 32z = -32 + 32 + -5z 32z = -32 + 32 + -5z Combine like terms: -32 + 32 = 0 32z = 0 + -5z 32z = -5z Solving 32z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 32z + 5z = -5z + 5z Combine like terms: 32z + 5z = 37z 37z = -5z + 5z Combine like terms: -5z + 5z = 0 37z = 0 Divide each side by '37'. z = 0 Simplifying z = 0
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