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Simplifying Z + 3z + 3iz = 0 Reorder the terms: Z + 3iz + 3z = 0 Solving Z + 3iz + 3z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-3iz' to each side of the equation. Z + 3iz + -3iz + 3z = 0 + -3iz Combine like terms: 3iz + -3iz = 0 Z + 0 + 3z = 0 + -3iz Z + 3z = 0 + -3iz Remove the zero: Z + 3z = -3iz Add '-3z' to each side of the equation. Z + 3z + -3z = -3iz + -3z Combine like terms: 3z + -3z = 0 Z + 0 = -3iz + -3z Z = -3iz + -3z Simplifying Z = -3iz + -3z
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