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Simplifying 10z + 8 = 8z + 12 Reorder the terms: 8 + 10z = 8z + 12 Reorder the terms: 8 + 10z = 12 + 8z Solving 8 + 10z = 12 + 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 + 10z + -8z = 12 + 8z + -8z Combine like terms: 10z + -8z = 2z 8 + 2z = 12 + 8z + -8z Combine like terms: 8z + -8z = 0 8 + 2z = 12 + 0 8 + 2z = 12 Add '-8' to each side of the equation. 8 + -8 + 2z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 12 + -8 2z = 12 + -8 Combine like terms: 12 + -8 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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