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Simplifying -4z + 9z = 6z + -3 + 5z Combine like terms: -4z + 9z = 5z 5z = 6z + -3 + 5z Reorder the terms: 5z = -3 + 6z + 5z Combine like terms: 6z + 5z = 11z 5z = -3 + 11z Solving 5z = -3 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 5z + -11z = -3 + 11z + -11z Combine like terms: 5z + -11z = -6z -6z = -3 + 11z + -11z Combine like terms: 11z + -11z = 0 -6z = -3 + 0 -6z = -3 Divide each side by '-6'. z = 0.5 Simplifying z = 0.5
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