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Simplifying and + bi = -12 + 7i Solving adn + bi = -12 + 7i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bi' to each side of the equation. adn + bi + -1bi = -12 + -1bi + 7i Combine like terms: bi + -1bi = 0 adn + 0 = -12 + -1bi + 7i adn = -12 + -1bi + 7i Divide each side by 'dn'. a = -12d-1n-1 + -1bd-1in-1 + 7d-1in-1 Simplifying a = -12d-1n-1 + -1bd-1in-1 + 7d-1in-1 Reorder the terms: a = -1bd-1in-1 + 7d-1in-1 + -12d-1n-1
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