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Simplifying 8z + -1z = -1 + 2z + -1 + -8 Combine like terms: 8z + -1z = 7z 7z = -1 + 2z + -1 + -8 Reorder the terms: 7z = -1 + -1 + -8 + 2z Combine like terms: -1 + -1 = -2 7z = -2 + -8 + 2z Combine like terms: -2 + -8 = -10 7z = -10 + 2z Solving 7z = -10 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7z + -2z = -10 + 2z + -2z Combine like terms: 7z + -2z = 5z 5z = -10 + 2z + -2z Combine like terms: 2z + -2z = 0 5z = -10 + 0 5z = -10 Divide each side by '5'. z = -2 Simplifying z = -2
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