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Simplifying 2a + (4a + 2) * i = b + -10i Reorder the terms: 2a + (2 + 4a) * i = b + -10i Reorder the terms for easier multiplication: 2a + i(2 + 4a) = b + -10i 2a + (2 * i + 4a * i) = b + -10i Reorder the terms: 2a + (4ai + 2i) = b + -10i 2a + (4ai + 2i) = b + -10i Solving 2a + 4ai + 2i = b + -10i 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. 2a + 4ai + 2i + -2i = b + -10i + -2i Combine like terms: 2i + -2i = 0 2a + 4ai + 0 = b + -10i + -2i 2a + 4ai = b + -10i + -2i Combine like terms: -10i + -2i = -12i 2a + 4ai = b + -12i Reorder the terms: 2a + 4ai + -1b + 12i = b + -1b + -12i + 12i Combine like terms: b + -1b = 0 2a + 4ai + -1b + 12i = 0 + -12i + 12i 2a + 4ai + -1b + 12i = -12i + 12i Combine like terms: -12i + 12i = 0 2a + 4ai + -1b + 12i = 0 The solution to this equation could not be determined.
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