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Simplifying 3z + 6z = 8z + -3 + -5z Combine like terms: 3z + 6z = 9z 9z = 8z + -3 + -5z Reorder the terms: 9z = -3 + 8z + -5z Combine like terms: 8z + -5z = 3z 9z = -3 + 3z Solving 9z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9z + -3z = -3 + 3z + -3z Combine like terms: 9z + -3z = 6z 6z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 6z = -3 + 0 6z = -3 Divide each side by '6'. z = -0.5 Simplifying z = -0.5
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