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Simplifying -8z + 7z = -1z + 6 + 8z Combine like terms: -8z + 7z = -1z -1z = -1z + 6 + 8z Reorder the terms: -1z = 6 + -1z + 8z Combine like terms: -1z + 8z = 7z -1z = 6 + 7z Solving -1z = 6 + 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. -1z + -7z = 6 + 7z + -7z Combine like terms: -1z + -7z = -8z -8z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 -8z = 6 + 0 -8z = 6 Divide each side by '-8'. z = -0.75 Simplifying z = -0.75
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