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