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Simplifying 9z = 6(0.5z + -6) Reorder the terms: 9z = 6(-6 + 0.5z) 9z = (-6 * 6 + 0.5z * 6) 9z = (-36 + 3z) Solving 9z = -36 + 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 = -36 + 3z + -3z Combine like terms: 9z + -3z = 6z 6z = -36 + 3z + -3z Combine like terms: 3z + -3z = 0 6z = -36 + 0 6z = -36 Divide each side by '6'. z = -6 Simplifying z = -6
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