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Simplifying z + -7z = 4z + -8 + -1z Combine like terms: z + -7z = -6z -6z = 4z + -8 + -1z Reorder the terms: -6z = -8 + 4z + -1z Combine like terms: 4z + -1z = 3z -6z = -8 + 3z Solving -6z = -8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -6z + -3z = -8 + 3z + -3z Combine like terms: -6z + -3z = -9z -9z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -9z = -8 + 0 -9z = -8 Divide each side by '-9'. z = 0.8888888889 Simplifying z = 0.8888888889
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