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