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