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Simplifying (z + -8z) = (5z + -9) + -1z Combine like terms: z + -8z = -7z (-7z) = (5z + -9) + -1z (-7z) = (5z + -9) + -1z Reorder the terms: (-7z) = (-9 + 5z) + -1z Remove parenthesis around (-9 + 5z) (-7z) = -9 + 5z + -1z Combine like terms: 5z + -1z = 4z (-7z) = -9 + 4z Solving (-7z) = -9 + 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 = -9 + 4z + -4z Combine like terms: (-7z) + -4z = -11z -11z = -9 + 4z + -4z Combine like terms: 4z + -4z = 0 -11z = -9 + 0 -11z = -9 Divide each side by '-11'. z = 0.8181818182 Simplifying z = 0.8181818182
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