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