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Simplifying -3z + 9z = 2z + 3 + 6z Combine like terms: -3z + 9z = 6z 6z = 2z + 3 + 6z Reorder the terms: 6z = 3 + 2z + 6z Combine like terms: 2z + 6z = 8z 6z = 3 + 8z Solving 6z = 3 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 6z + -8z = 3 + 8z + -8z Combine like terms: 6z + -8z = -2z -2z = 3 + 8z + -8z Combine like terms: 8z + -8z = 0 -2z = 3 + 0 -2z = 3 Divide each side by '-2'. z = -1.5 Simplifying z = -1.5
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