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Simplifying 3a + (4a + 2) * i = 9 + -6i Reorder the terms: 3a + (2 + 4a) * i = 9 + -6i Reorder the terms for easier multiplication: 3a + i(2 + 4a) = 9 + -6i 3a + (2 * i + 4a * i) = 9 + -6i Reorder the terms: 3a + (4ai + 2i) = 9 + -6i 3a + (4ai + 2i) = 9 + -6i Solving 3a + 4ai + 2i = 9 + -6i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2i' to each side of the equation. 3a + 4ai + 2i + -2i = 9 + -6i + -2i Combine like terms: 2i + -2i = 0 3a + 4ai + 0 = 9 + -6i + -2i 3a + 4ai = 9 + -6i + -2i Combine like terms: -6i + -2i = -8i 3a + 4ai = 9 + -8i Reorder the terms: -9 + 3a + 4ai + 8i = 9 + -8i + -9 + 8i Reorder the terms: -9 + 3a + 4ai + 8i = 9 + -9 + -8i + 8i Combine like terms: 9 + -9 = 0 -9 + 3a + 4ai + 8i = 0 + -8i + 8i -9 + 3a + 4ai + 8i = -8i + 8i Combine like terms: -8i + 8i = 0 -9 + 3a + 4ai + 8i = 0 The solution to this equation could not be determined.
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