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Simplifying -3z + 6z = 9z + 9 + -4z Combine like terms: -3z + 6z = 3z 3z = 9z + 9 + -4z Reorder the terms: 3z = 9 + 9z + -4z Combine like terms: 9z + -4z = 5z 3z = 9 + 5z Solving 3z = 9 + 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. 3z + -5z = 9 + 5z + -5z Combine like terms: 3z + -5z = -2z -2z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 -2z = 9 + 0 -2z = 9 Divide each side by '-2'. z = -4.5 Simplifying z = -4.5
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