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Simplifying z + -6z = 8z + -1 + -1z Combine like terms: z + -6z = -5z -5z = 8z + -1 + -1z Reorder the terms: -5z = -1 + 8z + -1z Combine like terms: 8z + -1z = 7z -5z = -1 + 7z Solving -5z = -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. -5z + -7z = -1 + 7z + -7z Combine like terms: -5z + -7z = -12z -12z = -1 + 7z + -7z Combine like terms: 7z + -7z = 0 -12z = -1 + 0 -12z = -1 Divide each side by '-12'. z = 0.08333333333 Simplifying z = 0.08333333333
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