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Simplifying 13z + 21z + 24z = 8 + 6z Combine like terms: 13z + 21z = 34z 34z + 24z = 8 + 6z Combine like terms: 34z + 24z = 58z 58z = 8 + 6z Solving 58z = 8 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 58z + -6z = 8 + 6z + -6z Combine like terms: 58z + -6z = 52z 52z = 8 + 6z + -6z Combine like terms: 6z + -6z = 0 52z = 8 + 0 52z = 8 Divide each side by '52'. z = 0.1538461538 Simplifying z = 0.1538461538
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