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Simplifying 10z + 39 = 9z + 42 Reorder the terms: 39 + 10z = 9z + 42 Reorder the terms: 39 + 10z = 42 + 9z Solving 39 + 10z = 42 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 39 + 10z + -9z = 42 + 9z + -9z Combine like terms: 10z + -9z = 1z 39 + 1z = 42 + 9z + -9z Combine like terms: 9z + -9z = 0 39 + 1z = 42 + 0 39 + 1z = 42 Add '-39' to each side of the equation. 39 + -39 + 1z = 42 + -39 Combine like terms: 39 + -39 = 0 0 + 1z = 42 + -39 1z = 42 + -39 Combine like terms: 42 + -39 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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