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Simplifying z + -5z = 8z + -1 + -1z Combine like terms: z + -5z = -4z -4z = 8z + -1 + -1z Reorder the terms: -4z = -1 + 8z + -1z Combine like terms: 8z + -1z = 7z -4z = -1 + 7z Solving -4z = -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. -4z + -7z = -1 + 7z + -7z Combine like terms: -4z + -7z = -11z -11z = -1 + 7z + -7z Combine like terms: 7z + -7z = 0 -11z = -1 + 0 -11z = -1 Divide each side by '-11'. z = 0.09090909091 Simplifying z = 0.09090909091
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