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Simplifying z + -8z = 6z + -5 + -1z Combine like terms: z + -8z = -7z -7z = 6z + -5 + -1z Reorder the terms: -7z = -5 + 6z + -1z Combine like terms: 6z + -1z = 5z -7z = -5 + 5z Solving -7z = -5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -7z + -5z = -5 + 5z + -5z Combine like terms: -7z + -5z = -12z -12z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 -12z = -5 + 0 -12z = -5 Divide each side by '-12'. z = 0.4166666667 Simplifying z = 0.4166666667
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