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Simplifying z + -3z = 8z + -2 + -1z Combine like terms: z + -3z = -2z -2z = 8z + -2 + -1z Reorder the terms: -2z = -2 + 8z + -1z Combine like terms: 8z + -1z = 7z -2z = -2 + 7z Solving -2z = -2 + 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. -2z + -7z = -2 + 7z + -7z Combine like terms: -2z + -7z = -9z -9z = -2 + 7z + -7z Combine like terms: 7z + -7z = 0 -9z = -2 + 0 -9z = -2 Divide each side by '-9'. z = 0.2222222222 Simplifying z = 0.2222222222
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