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Simplifying 10z + -5 + 32 = 8 + -1z Reorder the terms: -5 + 32 + 10z = 8 + -1z Combine like terms: -5 + 32 = 27 27 + 10z = 8 + -1z Solving 27 + 10z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 27 + 10z + z = 8 + -1z + z Combine like terms: 10z + z = 11z 27 + 11z = 8 + -1z + z Combine like terms: -1z + z = 0 27 + 11z = 8 + 0 27 + 11z = 8 Add '-27' to each side of the equation. 27 + -27 + 11z = 8 + -27 Combine like terms: 27 + -27 = 0 0 + 11z = 8 + -27 11z = 8 + -27 Combine like terms: 8 + -27 = -19 11z = -19 Divide each side by '11'. z = -1.727272727 Simplifying z = -1.727272727
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