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Simplifying -5x + 3iy = 5 + -6i Reorder the terms: 3iy + -5x = 5 + -6i Solving 3iy + -5x = 5 + -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 + -5x = 5 + -6i + 6i Reorder the terms: 6i + 3iy + -5x = 5 + -6i + 6i Combine like terms: -6i + 6i = 0 6i + 3iy + -5x = 5 + 0 6i + 3iy + -5x = 5 Add '5x' to each side of the equation. 6i + 3iy + -5x + 5x = 5 + 5x Combine like terms: -5x + 5x = 0 6i + 3iy + 0 = 5 + 5x 6i + 3iy = 5 + 5x Reorder the terms: -5 + 6i + 3iy + -5x = 5 + 5x + -5 + -5x Reorder the terms: -5 + 6i + 3iy + -5x = 5 + -5 + 5x + -5x Combine like terms: 5 + -5 = 0 -5 + 6i + 3iy + -5x = 0 + 5x + -5x -5 + 6i + 3iy + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 6i + 3iy + -5x = 0 The solution to this equation could not be determined.
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