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Simplifying 2z + -9z = 8z + 2 + -6z Combine like terms: 2z + -9z = -7z -7z = 8z + 2 + -6z Reorder the terms: -7z = 2 + 8z + -6z Combine like terms: 8z + -6z = 2z -7z = 2 + 2z Solving -7z = 2 + 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 = 2 + 2z + -2z Combine like terms: -7z + -2z = -9z -9z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -9z = 2 + 0 -9z = 2 Divide each side by '-9'. z = -0.2222222222 Simplifying z = -0.2222222222
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