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Simplifying 2x + -3yi + 9 = -1x + 2yi + 5i Reorder the terms: 9 + -3iy + 2x = -1x + 2yi + 5i Reorder the terms: 9 + -3iy + 2x = 5i + 2iy + -1x Solving 9 + -3iy + 2x = 5i + 2iy + -1x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 9 + -3iy + -5i + 2x = 5i + 2iy + -5i + -1x Reorder the terms: 9 + -5i + -3iy + 2x = 5i + 2iy + -5i + -1x Reorder the terms: 9 + -5i + -3iy + 2x = 5i + -5i + 2iy + -1x Combine like terms: 5i + -5i = 0 9 + -5i + -3iy + 2x = 0 + 2iy + -1x 9 + -5i + -3iy + 2x = 2iy + -1x Add '-2iy' to each side of the equation. 9 + -5i + -3iy + -2iy + 2x = 2iy + -2iy + -1x Combine like terms: -3iy + -2iy = -5iy 9 + -5i + -5iy + 2x = 2iy + -2iy + -1x Combine like terms: 2iy + -2iy = 0 9 + -5i + -5iy + 2x = 0 + -1x 9 + -5i + -5iy + 2x = -1x Add '-9' to each side of the equation. 9 + -5i + -5iy + -9 + 2x = -9 + -1x Reorder the terms: 9 + -9 + -5i + -5iy + 2x = -9 + -1x Combine like terms: 9 + -9 = 0 0 + -5i + -5iy + 2x = -9 + -1x -5i + -5iy + 2x = -9 + -1x Add '-2x' to each side of the equation. -5i + -5iy + 2x + -2x = -9 + -1x + -2x Combine like terms: 2x + -2x = 0 -5i + -5iy + 0 = -9 + -1x + -2x -5i + -5iy = -9 + -1x + -2x Combine like terms: -1x + -2x = -3x -5i + -5iy = -9 + -3x Reorder the terms: 9 + -5i + -5iy + 3x = -9 + -3x + 9 + 3x Reorder the terms: 9 + -5i + -5iy + 3x = -9 + 9 + -3x + 3x Combine like terms: -9 + 9 = 0 9 + -5i + -5iy + 3x = 0 + -3x + 3x 9 + -5i + -5iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 9 + -5i + -5iy + 3x = 0 The solution to this equation could not be determined.
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