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Simplifying 2 + -3z + -1 = 8z Reorder the terms: 2 + -1 + -3z = 8z Combine like terms: 2 + -1 = 1 1 + -3z = 8z Solving 1 + -3z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 1 + -3z + -8z = 8z + -8z Combine like terms: -3z + -8z = -11z 1 + -11z = 8z + -8z Combine like terms: 8z + -8z = 0 1 + -11z = 0 Add '-1' to each side of the equation. 1 + -1 + -11z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11z = 0 + -1 -11z = 0 + -1 Combine like terms: 0 + -1 = -1 -11z = -1 Divide each side by '-11'. z = 0.09090909091 Simplifying z = 0.09090909091
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