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Simplifying 27 + 6z = 3 + 2i Solving 27 + 6z = 3 + 2i Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6z = 3 + -27 + 2i Combine like terms: 27 + -27 = 0 0 + 6z = 3 + -27 + 2i 6z = 3 + -27 + 2i Combine like terms: 3 + -27 = -24 6z = -24 + 2i Divide each side by '6'. z = -4 + 0.3333333333i Simplifying z = -4 + 0.3333333333i
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