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Simplifying a + 12i = 3x + 4yi Reorder the terms: a + 12i = 4iy + 3x Solving a + 12i = 4iy + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12i' to each side of the equation. a + 12i + -12i = 4iy + -12i + 3x Combine like terms: 12i + -12i = 0 a + 0 = 4iy + -12i + 3x a = 4iy + -12i + 3x Reorder the terms: a = -12i + 4iy + 3x Simplifying a = -12i + 4iy + 3x
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