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Simplifying A + b + -2abi = 5 + -12i Reorder the terms: A + -2abi + b = 5 + -12i Solving A + -2abi + b = 5 + -12i Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '2abi' to each side of the equation. A + -2abi + 2abi + b = 5 + 2abi + -12i Combine like terms: -2abi + 2abi = 0 A + 0 + b = 5 + 2abi + -12i A + b = 5 + 2abi + -12i Add '-1b' to each side of the equation. A + b + -1b = 5 + 2abi + -1b + -12i Combine like terms: b + -1b = 0 A + 0 = 5 + 2abi + -1b + -12i A = 5 + 2abi + -1b + -12i Simplifying A = 5 + 2abi + -1b + -12i
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