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Simplifying 7z = 6(z + 1) Reorder the terms: 7z = 6(1 + z) 7z = (1 * 6 + z * 6) 7z = (6 + 6z) Solving 7z = 6 + 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. 7z + -6z = 6 + 6z + -6z Combine like terms: 7z + -6z = 1z 1z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 1z = 6 + 0 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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