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