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Simplifying -3z + 9z = -5z + -6 + 4z Combine like terms: -3z + 9z = 6z 6z = -5z + -6 + 4z Reorder the terms: 6z = -6 + -5z + 4z Combine like terms: -5z + 4z = -1z 6z = -6 + -1z Solving 6z = -6 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 6z + z = -6 + -1z + z Combine like terms: 6z + z = 7z 7z = -6 + -1z + z Combine like terms: -1z + z = 0 7z = -6 + 0 7z = -6 Divide each side by '7'. z = -0.8571428571 Simplifying z = -0.8571428571
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