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Simplifying abs(z) + -1z = 4 + 3i Multiply abs * z absz + -1z = 4 + 3i Solving absz + -1z = 4 + 3i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'z' to each side of the equation. absz + -1z + z = 4 + 3i + z Combine like terms: -1z + z = 0 absz + 0 = 4 + 3i + z absz = 4 + 3i + z Divide each side by 'bsz'. a = 4b-1s-1z-1 + 3b-1is-1z-1 + b-1s-1 Simplifying a = 4b-1s-1z-1 + 3b-1is-1z-1 + b-1s-1 Reorder the terms: a = 3b-1is-1z-1 + b-1s-1 + 4b-1s-1z-1
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