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Simplifying z + -8z = 5z + -2 + -1z Combine like terms: z + -8z = -7z -7z = 5z + -2 + -1z Reorder the terms: -7z = -2 + 5z + -1z Combine like terms: 5z + -1z = 4z -7z = -2 + 4z Solving -7z = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -7z + -4z = -2 + 4z + -4z Combine like terms: -7z + -4z = -11z -11z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 -11z = -2 + 0 -11z = -2 Divide each side by '-11'. z = 0.1818181818 Simplifying z = 0.1818181818
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