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Simplifying 2z + 1 = qI Reorder the terms: 1 + 2z = qI Solving 1 + 2z = qI Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z = -1 + qI Combine like terms: 1 + -1 = 0 0 + 2z = -1 + qI 2z = -1 + qI Divide each side by '2'. z = -0.5 + 0.5qI Simplifying z = -0.5 + 0.5qI
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