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Simplifying 4x + -5i = -2 + 3yi Reorder the terms: -5i + 4x = -2 + 3yi Solving -5i + 4x = -2 + 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. -5i + -3iy + 4x = -2 + 3iy + -3iy Combine like terms: 3iy + -3iy = 0 -5i + -3iy + 4x = -2 + 0 -5i + -3iy + 4x = -2 Add '-4x' to each side of the equation. -5i + -3iy + 4x + -4x = -2 + -4x Combine like terms: 4x + -4x = 0 -5i + -3iy + 0 = -2 + -4x -5i + -3iy = -2 + -4x Reorder the terms: 2 + -5i + -3iy + 4x = -2 + -4x + 2 + 4x Reorder the terms: 2 + -5i + -3iy + 4x = -2 + 2 + -4x + 4x Combine like terms: -2 + 2 = 0 2 + -5i + -3iy + 4x = 0 + -4x + 4x 2 + -5i + -3iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 2 + -5i + -3iy + 4x = 0 The solution to this equation could not be determined.
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