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Simplifying 3x + ix + -2y + -8iy = -2 + -4i Reorder the terms: ix + -8iy + 3x + -2y = -2 + -4i Solving ix + -8iy + 3x + -2y = -2 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. ix + -8iy + 3x + 4i + -2y = -2 + -4i + 4i Reorder the terms: 4i + ix + -8iy + 3x + -2y = -2 + -4i + 4i Combine like terms: -4i + 4i = 0 4i + ix + -8iy + 3x + -2y = -2 + 0 4i + ix + -8iy + 3x + -2y = -2 Add '-3x' to each side of the equation. 4i + ix + -8iy + 3x + -3x + -2y = -2 + -3x Combine like terms: 3x + -3x = 0 4i + ix + -8iy + 0 + -2y = -2 + -3x 4i + ix + -8iy + -2y = -2 + -3x Add '2y' to each side of the equation. 4i + ix + -8iy + -2y + 2y = -2 + -3x + 2y Combine like terms: -2y + 2y = 0 4i + ix + -8iy + 0 = -2 + -3x + 2y 4i + ix + -8iy = -2 + -3x + 2y Reorder the terms: 2 + 4i + ix + -8iy + 3x + -2y = -2 + -3x + 2y + 2 + 3x + -2y Reorder the terms: 2 + 4i + ix + -8iy + 3x + -2y = -2 + 2 + -3x + 3x + 2y + -2y Combine like terms: -2 + 2 = 0 2 + 4i + ix + -8iy + 3x + -2y = 0 + -3x + 3x + 2y + -2y 2 + 4i + ix + -8iy + 3x + -2y = -3x + 3x + 2y + -2y Combine like terms: -3x + 3x = 0 2 + 4i + ix + -8iy + 3x + -2y = 0 + 2y + -2y 2 + 4i + ix + -8iy + 3x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 2 + 4i + ix + -8iy + 3x + -2y = 0 The solution to this equation could not be determined.
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