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Simplifying (x + yi) + 6i = 2 Reorder the terms: (iy + x) + 6i = 2 Remove parenthesis around (iy + x) iy + x + 6i = 2 Reorder the terms: 6i + iy + x = 2 Solving 6i + iy + x = 2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. 6i + iy + x + -1x = 2 + -1x Combine like terms: x + -1x = 0 6i + iy + 0 = 2 + -1x 6i + iy = 2 + -1x Reorder the terms: -2 + 6i + iy + x = 2 + -1x + -2 + x Reorder the terms: -2 + 6i + iy + x = 2 + -2 + -1x + x Combine like terms: 2 + -2 = 0 -2 + 6i + iy + x = 0 + -1x + x -2 + 6i + iy + x = -1x + x Combine like terms: -1x + x = 0 -2 + 6i + iy + x = 0 The solution to this equation could not be determined.
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