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Simplifying 1z + -6z = 8z + -5 + -1z Combine like terms: 1z + -6z = -5z -5z = 8z + -5 + -1z Reorder the terms: -5z = -5 + 8z + -1z Combine like terms: 8z + -1z = 7z -5z = -5 + 7z Solving -5z = -5 + 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 = -5 + 7z + -7z Combine like terms: -5z + -7z = -12z -12z = -5 + 7z + -7z Combine like terms: 7z + -7z = 0 -12z = -5 + 0 -12z = -5 Divide each side by '-12'. z = 0.4166666667 Simplifying z = 0.4166666667
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