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Simplifying 8.5 + 3z = -8z Solving 8.5 + 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. 8.5 + 3z + 8z = -8z + 8z Combine like terms: 3z + 8z = 11z 8.5 + 11z = -8z + 8z Combine like terms: -8z + 8z = 0 8.5 + 11z = 0 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 11z = 0 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 11z = 0 + -8.5 11z = 0 + -8.5 Combine like terms: 0 + -8.5 = -8.5 11z = -8.5 Divide each side by '11'. z = -0.7727272727 Simplifying z = -0.7727272727
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