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