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Simplifying 3z + 9z = 6z + -6 + 3z Combine like terms: 3z + 9z = 12z 12z = 6z + -6 + 3z Reorder the terms: 12z = -6 + 6z + 3z Combine like terms: 6z + 3z = 9z 12z = -6 + 9z Solving 12z = -6 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 12z + -9z = -6 + 9z + -9z Combine like terms: 12z + -9z = 3z 3z = -6 + 9z + -9z Combine like terms: 9z + -9z = 0 3z = -6 + 0 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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