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Simplifying 9z + 5 + -6z = 32 + -6z Reorder the terms: 5 + 9z + -6z = 32 + -6z Combine like terms: 9z + -6z = 3z 5 + 3z = 32 + -6z Solving 5 + 3z = 32 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 5 + 3z + 6z = 32 + -6z + 6z Combine like terms: 3z + 6z = 9z 5 + 9z = 32 + -6z + 6z Combine like terms: -6z + 6z = 0 5 + 9z = 32 + 0 5 + 9z = 32 Add '-5' to each side of the equation. 5 + -5 + 9z = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 9z = 32 + -5 9z = 32 + -5 Combine like terms: 32 + -5 = 27 9z = 27 Divide each side by '9'. z = 3 Simplifying z = 3
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