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Simplifying 10z + -5 + 3 = 8 + -1z Reorder the terms: -5 + 3 + 10z = 8 + -1z Combine like terms: -5 + 3 = -2 -2 + 10z = 8 + -1z Solving -2 + 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. -2 + 10z + z = 8 + -1z + z Combine like terms: 10z + z = 11z -2 + 11z = 8 + -1z + z Combine like terms: -1z + z = 0 -2 + 11z = 8 + 0 -2 + 11z = 8 Add '2' to each side of the equation. -2 + 2 + 11z = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 11z = 8 + 2 11z = 8 + 2 Combine like terms: 8 + 2 = 10 11z = 10 Divide each side by '11'. z = 0.9090909091 Simplifying z = 0.9090909091
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