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Simplifying 6x + -4yi + 2i = 6 + -1ix + -1yi Reorder the terms: 2i + -4iy + 6x = 6 + -1ix + -1yi Solving 2i + -4iy + 6x = 6 + -1ix + -1iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'ix' to each side of the equation. 2i + -4iy + ix + 6x = 6 + -1ix + ix + -1iy Reorder the terms: 2i + ix + -4iy + 6x = 6 + -1ix + ix + -1iy Combine like terms: -1ix + ix = 0 2i + ix + -4iy + 6x = 6 + 0 + -1iy 2i + ix + -4iy + 6x = 6 + -1iy Add 'iy' to each side of the equation. 2i + ix + -4iy + iy + 6x = 6 + -1iy + iy Combine like terms: -4iy + iy = -3iy 2i + ix + -3iy + 6x = 6 + -1iy + iy Combine like terms: -1iy + iy = 0 2i + ix + -3iy + 6x = 6 + 0 2i + ix + -3iy + 6x = 6 Add '-6x' to each side of the equation. 2i + ix + -3iy + 6x + -6x = 6 + -6x Combine like terms: 6x + -6x = 0 2i + ix + -3iy + 0 = 6 + -6x 2i + ix + -3iy = 6 + -6x Reorder the terms: -6 + 2i + ix + -3iy + 6x = 6 + -6x + -6 + 6x Reorder the terms: -6 + 2i + ix + -3iy + 6x = 6 + -6 + -6x + 6x Combine like terms: 6 + -6 = 0 -6 + 2i + ix + -3iy + 6x = 0 + -6x + 6x -6 + 2i + ix + -3iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 2i + ix + -3iy + 6x = 0 The solution to this equation could not be determined.
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