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Simplifying -3z + 6z = 7z + 8 + -6z Combine like terms: -3z + 6z = 3z 3z = 7z + 8 + -6z Reorder the terms: 3z = 8 + 7z + -6z Combine like terms: 7z + -6z = 1z 3z = 8 + 1z Solving 3z = 8 + 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 = 8 + 1z + -1z Combine like terms: 3z + -1z = 2z 2z = 8 + 1z + -1z Combine like terms: 1z + -1z = 0 2z = 8 + 0 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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