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Simplifying 2z + 3z = -9z + -5 + 8z Combine like terms: 2z + 3z = 5z 5z = -9z + -5 + 8z Reorder the terms: 5z = -5 + -9z + 8z Combine like terms: -9z + 8z = -1z 5z = -5 + -1z Solving 5z = -5 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 5z + z = -5 + -1z + z Combine like terms: 5z + z = 6z 6z = -5 + -1z + z Combine like terms: -1z + z = 0 6z = -5 + 0 6z = -5 Divide each side by '6'. z = -0.8333333333 Simplifying z = -0.8333333333
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