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Simplifying 6x + yi = 12 + -3i Reorder the terms: iy + 6x = 12 + -3i Solving iy + 6x = 12 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. iy + 3i + 6x = 12 + -3i + 3i Reorder the terms: 3i + iy + 6x = 12 + -3i + 3i Combine like terms: -3i + 3i = 0 3i + iy + 6x = 12 + 0 3i + iy + 6x = 12 Add '-6x' to each side of the equation. 3i + iy + 6x + -6x = 12 + -6x Combine like terms: 6x + -6x = 0 3i + iy + 0 = 12 + -6x 3i + iy = 12 + -6x Reorder the terms: -12 + 3i + iy + 6x = 12 + -6x + -12 + 6x Reorder the terms: -12 + 3i + iy + 6x = 12 + -12 + -6x + 6x Combine like terms: 12 + -12 = 0 -12 + 3i + iy + 6x = 0 + -6x + 6x -12 + 3i + iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 3i + iy + 6x = 0 The solution to this equation could not be determined.
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