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Simplifying 4 + 7z = 6z + 11 Reorder the terms: 4 + 7z = 11 + 6z Solving 4 + 7z = 11 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 4 + 7z + -6z = 11 + 6z + -6z Combine like terms: 7z + -6z = 1z 4 + 1z = 11 + 6z + -6z Combine like terms: 6z + -6z = 0 4 + 1z = 11 + 0 4 + 1z = 11 Add '-4' to each side of the equation. 4 + -4 + 1z = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 11 + -4 1z = 11 + -4 Combine like terms: 11 + -4 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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