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Simplifying a + 3b(3a + -1b) * i = 6 + 6i Reorder the terms for easier multiplication: a + 3b * i(3a + -1b) = 6 + 6i Multiply b * i a + 3bi(3a + -1b) = 6 + 6i a + (3a * 3bi + -1b * 3bi) = 6 + 6i a + (9abi + -3b2i) = 6 + 6i Solving a + 9abi + -3b2i = 6 + 6i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b2i' to each side of the equation. a + 9abi + -3b2i + 3b2i = 6 + 3b2i + 6i Combine like terms: -3b2i + 3b2i = 0 a + 9abi + 0 = 6 + 3b2i + 6i a + 9abi = 6 + 3b2i + 6i Reorder the terms: -6 + a + 9abi + -3b2i + -6i = 6 + 3b2i + 6i + -6 + -3b2i + -6i Reorder the terms: -6 + a + 9abi + -3b2i + -6i = 6 + -6 + 3b2i + -3b2i + 6i + -6i Combine like terms: 6 + -6 = 0 -6 + a + 9abi + -3b2i + -6i = 0 + 3b2i + -3b2i + 6i + -6i -6 + a + 9abi + -3b2i + -6i = 3b2i + -3b2i + 6i + -6i Combine like terms: 3b2i + -3b2i = 0 -6 + a + 9abi + -3b2i + -6i = 0 + 6i + -6i -6 + a + 9abi + -3b2i + -6i = 6i + -6i Combine like terms: 6i + -6i = 0 -6 + a + 9abi + -3b2i + -6i = 0 The solution to this equation could not be determined.
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