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Simplifying (x + yi)(1 + i) = 8 + 6i Reorder the terms: (iy + x)(1 + i) = 8 + 6i Multiply (iy + x) * (1 + i) (iy(1 + i) + x(1 + i)) = 8 + 6i ((1 * iy + i * iy) + x(1 + i)) = 8 + 6i ((1iy + i2y) + x(1 + i)) = 8 + 6i (1iy + i2y + (1 * x + i * x)) = 8 + 6i Reorder the terms: (1iy + i2y + (ix + 1x)) = 8 + 6i (1iy + i2y + (ix + 1x)) = 8 + 6i Reorder the terms: (ix + 1iy + i2y + 1x) = 8 + 6i (ix + 1iy + i2y + 1x) = 8 + 6i Solving ix + 1iy + i2y + 1x = 8 + 6i Solving for variable 'i'. Reorder the terms: -8 + -6i + ix + 1iy + i2y + 1x = 8 + 6i + -8 + -6i Reorder the terms: -8 + -6i + ix + 1iy + i2y + 1x = 8 + -8 + 6i + -6i Combine like terms: 8 + -8 = 0 -8 + -6i + ix + 1iy + i2y + 1x = 0 + 6i + -6i -8 + -6i + ix + 1iy + i2y + 1x = 6i + -6i Combine like terms: 6i + -6i = 0 -8 + -6i + ix + 1iy + i2y + 1x = 0 The solution to this equation could not be determined.
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