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Simplifying 3x + 2i = 7 + -3yi Reorder the terms: 2i + 3x = 7 + -3yi Solving 2i + 3x = 7 + -3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3iy' to each side of the equation. 2i + 3iy + 3x = 7 + -3iy + 3iy Combine like terms: -3iy + 3iy = 0 2i + 3iy + 3x = 7 + 0 2i + 3iy + 3x = 7 Add '-3x' to each side of the equation. 2i + 3iy + 3x + -3x = 7 + -3x Combine like terms: 3x + -3x = 0 2i + 3iy + 0 = 7 + -3x 2i + 3iy = 7 + -3x Reorder the terms: -7 + 2i + 3iy + 3x = 7 + -3x + -7 + 3x Reorder the terms: -7 + 2i + 3iy + 3x = 7 + -7 + -3x + 3x Combine like terms: 7 + -7 = 0 -7 + 2i + 3iy + 3x = 0 + -3x + 3x -7 + 2i + 3iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 2i + 3iy + 3x = 0 The solution to this equation could not be determined.
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