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Simplifying -5z + 9z = 9z + 6 + -4z Combine like terms: -5z + 9z = 4z 4z = 9z + 6 + -4z Reorder the terms: 4z = 6 + 9z + -4z Combine like terms: 9z + -4z = 5z 4z = 6 + 5z Solving 4z = 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. 4z + -5z = 6 + 5z + -5z Combine like terms: 4z + -5z = -1z -1z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 -1z = 6 + 0 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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