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Simplifying 10z + 1 = 8z + 23 Reorder the terms: 1 + 10z = 8z + 23 Reorder the terms: 1 + 10z = 23 + 8z Solving 1 + 10z = 23 + 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 + 10z + -8z = 23 + 8z + -8z Combine like terms: 10z + -8z = 2z 1 + 2z = 23 + 8z + -8z Combine like terms: 8z + -8z = 0 1 + 2z = 23 + 0 1 + 2z = 23 Add '-1' to each side of the equation. 1 + -1 + 2z = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 23 + -1 2z = 23 + -1 Combine like terms: 23 + -1 = 22 2z = 22 Divide each side by '2'. z = 11 Simplifying z = 11
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