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Simplifying 7z + -8z = 9z + 1 + z Combine like terms: 7z + -8z = -1z -1z = 9z + 1 + z Reorder the terms: -1z = 1 + 9z + z Combine like terms: 9z + z = 10z -1z = 1 + 10z Solving -1z = 1 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -1z + -10z = 1 + 10z + -10z Combine like terms: -1z + -10z = -11z -11z = 1 + 10z + -10z Combine like terms: 10z + -10z = 0 -11z = 1 + 0 -11z = 1 Divide each side by '-11'. z = -0.09090909091 Simplifying z = -0.09090909091
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