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Simplifying 5z + 9 + -3z = 32 Reorder the terms: 9 + 5z + -3z = 32 Combine like terms: 5z + -3z = 2z 9 + 2z = 32 Solving 9 + 2z = 32 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2z = 32 + -9 Combine like terms: 9 + -9 = 0 0 + 2z = 32 + -9 2z = 32 + -9 Combine like terms: 32 + -9 = 23 2z = 23 Divide each side by '2'. z = 11.5 Simplifying z = 11.5
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