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Simplifying 4z + 9z = 6z + 8 + 3z Combine like terms: 4z + 9z = 13z 13z = 6z + 8 + 3z Reorder the terms: 13z = 8 + 6z + 3z Combine like terms: 6z + 3z = 9z 13z = 8 + 9z Solving 13z = 8 + 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. 13z + -9z = 8 + 9z + -9z Combine like terms: 13z + -9z = 4z 4z = 8 + 9z + -9z Combine like terms: 9z + -9z = 0 4z = 8 + 0 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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