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Simplifying 3x + 3iy + -2ix + -2y = 4 + i Reorder the terms: -2ix + 3iy + 3x + -2y = 4 + i Solving -2ix + 3iy + 3x + -2y = 4 + i 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. -2ix + 3iy + 3x + -1i + -2y = 4 + i + -1i Reorder the terms: -1i + -2ix + 3iy + 3x + -2y = 4 + i + -1i Combine like terms: i + -1i = 0 -1i + -2ix + 3iy + 3x + -2y = 4 + 0 -1i + -2ix + 3iy + 3x + -2y = 4 Add '-3x' to each side of the equation. -1i + -2ix + 3iy + 3x + -3x + -2y = 4 + -3x Combine like terms: 3x + -3x = 0 -1i + -2ix + 3iy + 0 + -2y = 4 + -3x -1i + -2ix + 3iy + -2y = 4 + -3x Add '2y' to each side of the equation. -1i + -2ix + 3iy + -2y + 2y = 4 + -3x + 2y Combine like terms: -2y + 2y = 0 -1i + -2ix + 3iy + 0 = 4 + -3x + 2y -1i + -2ix + 3iy = 4 + -3x + 2y Reorder the terms: -4 + -1i + -2ix + 3iy + 3x + -2y = 4 + -3x + 2y + -4 + 3x + -2y Reorder the terms: -4 + -1i + -2ix + 3iy + 3x + -2y = 4 + -4 + -3x + 3x + 2y + -2y Combine like terms: 4 + -4 = 0 -4 + -1i + -2ix + 3iy + 3x + -2y = 0 + -3x + 3x + 2y + -2y -4 + -1i + -2ix + 3iy + 3x + -2y = -3x + 3x + 2y + -2y Combine like terms: -3x + 3x = 0 -4 + -1i + -2ix + 3iy + 3x + -2y = 0 + 2y + -2y -4 + -1i + -2ix + 3iy + 3x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -4 + -1i + -2ix + 3iy + 3x + -2y = 0 The solution to this equation could not be determined.
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