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Simplifying 7z + z = 9z + -6 + 8z Combine like terms: 7z + z = 8z 8z = 9z + -6 + 8z Reorder the terms: 8z = -6 + 9z + 8z Combine like terms: 9z + 8z = 17z 8z = -6 + 17z Solving 8z = -6 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. 8z + -17z = -6 + 17z + -17z Combine like terms: 8z + -17z = -9z -9z = -6 + 17z + -17z Combine like terms: 17z + -17z = 0 -9z = -6 + 0 -9z = -6 Divide each side by '-9'. z = 0.6666666667 Simplifying z = 0.6666666667
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