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Simplifying 3x + 2yi = 2 + 1i Reorder the terms: 2iy + 3x = 2 + 1i Solving 2iy + 3x = 2 + 1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 2iy + -1i + 3x = 2 + 1i + -1i Reorder the terms: -1i + 2iy + 3x = 2 + 1i + -1i Combine like terms: 1i + -1i = 0 -1i + 2iy + 3x = 2 + 0 -1i + 2iy + 3x = 2 Add '-3x' to each side of the equation. -1i + 2iy + 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 -1i + 2iy + 0 = 2 + -3x -1i + 2iy = 2 + -3x Reorder the terms: -2 + -1i + 2iy + 3x = 2 + -3x + -2 + 3x Reorder the terms: -2 + -1i + 2iy + 3x = 2 + -2 + -3x + 3x Combine like terms: 2 + -2 = 0 -2 + -1i + 2iy + 3x = 0 + -3x + 3x -2 + -1i + 2iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -1i + 2iy + 3x = 0 The solution to this equation could not be determined.
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