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Simplifying 7z + 11 = 4z + 38 Reorder the terms: 11 + 7z = 4z + 38 Reorder the terms: 11 + 7z = 38 + 4z Solving 11 + 7z = 38 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 11 + 7z + -4z = 38 + 4z + -4z Combine like terms: 7z + -4z = 3z 11 + 3z = 38 + 4z + -4z Combine like terms: 4z + -4z = 0 11 + 3z = 38 + 0 11 + 3z = 38 Add '-11' to each side of the equation. 11 + -11 + 3z = 38 + -11 Combine like terms: 11 + -11 = 0 0 + 3z = 38 + -11 3z = 38 + -11 Combine like terms: 38 + -11 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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