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Simplifying 3x + 2yi = 6 + 2i Reorder the terms: 2iy + 3x = 6 + 2i Solving 2iy + 3x = 6 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 2iy + -2i + 3x = 6 + 2i + -2i Reorder the terms: -2i + 2iy + 3x = 6 + 2i + -2i Combine like terms: 2i + -2i = 0 -2i + 2iy + 3x = 6 + 0 -2i + 2iy + 3x = 6 Add '-3x' to each side of the equation. -2i + 2iy + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 -2i + 2iy + 0 = 6 + -3x -2i + 2iy = 6 + -3x Reorder the terms: -6 + -2i + 2iy + 3x = 6 + -3x + -6 + 3x Reorder the terms: -6 + -2i + 2iy + 3x = 6 + -6 + -3x + 3x Combine like terms: 6 + -6 = 0 -6 + -2i + 2iy + 3x = 0 + -3x + 3x -6 + -2i + 2iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -2i + 2iy + 3x = 0 The solution to this equation could not be determined.
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