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Simplifying -5z + 3z = 9z + 6 + -4z Combine like terms: -5z + 3z = -2z -2z = 9z + 6 + -4z Reorder the terms: -2z = 6 + 9z + -4z Combine like terms: 9z + -4z = 5z -2z = 6 + 5z Solving -2z = 6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2z + -5z = 6 + 5z + -5z Combine like terms: -2z + -5z = -7z -7z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 -7z = 6 + 0 -7z = 6 Divide each side by '-7'. z = -0.8571428571 Simplifying z = -0.8571428571
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