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Simplifying -2z + 9z = 2z + 3 + 8z Combine like terms: -2z + 9z = 7z 7z = 2z + 3 + 8z Reorder the terms: 7z = 3 + 2z + 8z Combine like terms: 2z + 8z = 10z 7z = 3 + 10z Solving 7z = 3 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 7z + -10z = 3 + 10z + -10z Combine like terms: 7z + -10z = -3z -3z = 3 + 10z + -10z Combine like terms: 10z + -10z = 0 -3z = 3 + 0 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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