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Simplifying 10z + -5 + 33 = 8 + -1z Reorder the terms: -5 + 33 + 10z = 8 + -1z Combine like terms: -5 + 33 = 28 28 + 10z = 8 + -1z Solving 28 + 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. 28 + 10z + z = 8 + -1z + z Combine like terms: 10z + z = 11z 28 + 11z = 8 + -1z + z Combine like terms: -1z + z = 0 28 + 11z = 8 + 0 28 + 11z = 8 Add '-28' to each side of the equation. 28 + -28 + 11z = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 11z = 8 + -28 11z = 8 + -28 Combine like terms: 8 + -28 = -20 11z = -20 Divide each side by '11'. z = -1.818181818 Simplifying z = -1.818181818
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