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Simplifying 10z + 2 = 8z + 6 Reorder the terms: 2 + 10z = 8z + 6 Reorder the terms: 2 + 10z = 6 + 8z Solving 2 + 10z = 6 + 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. 2 + 10z + -8z = 6 + 8z + -8z Combine like terms: 10z + -8z = 2z 2 + 2z = 6 + 8z + -8z Combine like terms: 8z + -8z = 0 2 + 2z = 6 + 0 2 + 2z = 6 Add '-2' to each side of the equation. 2 + -2 + 2z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2z = 6 + -2 2z = 6 + -2 Combine like terms: 6 + -2 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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