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Simplifying 9z + 5 + -2z = 23 + -2z Reorder the terms: 5 + 9z + -2z = 23 + -2z Combine like terms: 9z + -2z = 7z 5 + 7z = 23 + -2z Solving 5 + 7z = 23 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 5 + 7z + 2z = 23 + -2z + 2z Combine like terms: 7z + 2z = 9z 5 + 9z = 23 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + 9z = 23 + 0 5 + 9z = 23 Add '-5' to each side of the equation. 5 + -5 + 9z = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 9z = 23 + -5 9z = 23 + -5 Combine like terms: 23 + -5 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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