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Simplifying -6z + 9z = -7z + -7 + 8z Combine like terms: -6z + 9z = 3z 3z = -7z + -7 + 8z Reorder the terms: 3z = -7 + -7z + 8z Combine like terms: -7z + 8z = 1z 3z = -7 + 1z Solving 3z = -7 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3z + -1z = -7 + 1z + -1z Combine like terms: 3z + -1z = 2z 2z = -7 + 1z + -1z Combine like terms: 1z + -1z = 0 2z = -7 + 0 2z = -7 Divide each side by '2'. z = -3.5 Simplifying z = -3.5
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