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Simplifying -3x + 2yi = 15 + -4i Reorder the terms: 2iy + -3x = 15 + -4i Solving 2iy + -3x = 15 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. 2iy + 4i + -3x = 15 + -4i + 4i Reorder the terms: 4i + 2iy + -3x = 15 + -4i + 4i Combine like terms: -4i + 4i = 0 4i + 2iy + -3x = 15 + 0 4i + 2iy + -3x = 15 Add '3x' to each side of the equation. 4i + 2iy + -3x + 3x = 15 + 3x Combine like terms: -3x + 3x = 0 4i + 2iy + 0 = 15 + 3x 4i + 2iy = 15 + 3x Reorder the terms: -15 + 4i + 2iy + -3x = 15 + 3x + -15 + -3x Reorder the terms: -15 + 4i + 2iy + -3x = 15 + -15 + 3x + -3x Combine like terms: 15 + -15 = 0 -15 + 4i + 2iy + -3x = 0 + 3x + -3x -15 + 4i + 2iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 4i + 2iy + -3x = 0 The solution to this equation could not be determined.
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