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Simplifying 7z + 11 = 5z + 22 Reorder the terms: 11 + 7z = 5z + 22 Reorder the terms: 11 + 7z = 22 + 5z Solving 11 + 7z = 22 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 11 + 7z + -5z = 22 + 5z + -5z Combine like terms: 7z + -5z = 2z 11 + 2z = 22 + 5z + -5z Combine like terms: 5z + -5z = 0 11 + 2z = 22 + 0 11 + 2z = 22 Add '-11' to each side of the equation. 11 + -11 + 2z = 22 + -11 Combine like terms: 11 + -11 = 0 0 + 2z = 22 + -11 2z = 22 + -11 Combine like terms: 22 + -11 = 11 2z = 11 Divide each side by '2'. z = 5.5 Simplifying z = 5.5
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