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Simplifying 5x + xi + -6 + -3y = 2yi + (8x + y) * I Reorder the terms: -6 + ix + 5x + -3y = 2yi + (8x + y) * I Reorder the terms for easier multiplication: -6 + ix + 5x + -3y = 2iy + I(8x + y) -6 + ix + 5x + -3y = 2iy + (8x * I + y * I) -6 + ix + 5x + -3y = 2iy + (8xI + yI) Solving -6 + ix + 5x + -3y = 2iy + 8xI + yI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2iy' to each side of the equation. -6 + ix + 5x + -2iy + -3y = 2iy + 8xI + -2iy + yI Reorder the terms: -6 + ix + -2iy + 5x + -3y = 2iy + 8xI + -2iy + yI Reorder the terms: -6 + ix + -2iy + 5x + -3y = 2iy + -2iy + 8xI + yI Combine like terms: 2iy + -2iy = 0 -6 + ix + -2iy + 5x + -3y = 0 + 8xI + yI -6 + ix + -2iy + 5x + -3y = 8xI + yI Add '6' to each side of the equation. -6 + ix + -2iy + 5x + 6 + -3y = 8xI + 6 + yI Reorder the terms: -6 + 6 + ix + -2iy + 5x + -3y = 8xI + 6 + yI Combine like terms: -6 + 6 = 0 0 + ix + -2iy + 5x + -3y = 8xI + 6 + yI ix + -2iy + 5x + -3y = 8xI + 6 + yI Reorder the terms: ix + -2iy + 5x + -3y = 6 + 8xI + yI Add '-5x' to each side of the equation. ix + -2iy + 5x + -5x + -3y = 6 + 8xI + -5x + yI Combine like terms: 5x + -5x = 0 ix + -2iy + 0 + -3y = 6 + 8xI + -5x + yI ix + -2iy + -3y = 6 + 8xI + -5x + yI Reorder the terms: ix + -2iy + -3y = 6 + -5x + 8xI + yI Add '3y' to each side of the equation. ix + -2iy + -3y + 3y = 6 + -5x + 8xI + 3y + yI Combine like terms: -3y + 3y = 0 ix + -2iy + 0 = 6 + -5x + 8xI + 3y + yI ix + -2iy = 6 + -5x + 8xI + 3y + yI Reorder the terms: -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 6 + -5x + 8xI + 3y + yI + -6 + 5x + -8xI + -3y + -1yI Reorder the terms: -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 6 + -6 + -5x + 5x + 8xI + -8xI + 3y + -3y + yI + -1yI Combine like terms: 6 + -6 = 0 -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 0 + -5x + 5x + 8xI + -8xI + 3y + -3y + yI + -1yI -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = -5x + 5x + 8xI + -8xI + 3y + -3y + yI + -1yI Combine like terms: -5x + 5x = 0 -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 0 + 8xI + -8xI + 3y + -3y + yI + -1yI -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 8xI + -8xI + 3y + -3y + yI + -1yI Combine like terms: 8xI + -8xI = 0 -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 0 + 3y + -3y + yI + -1yI -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 3y + -3y + yI + -1yI Combine like terms: 3y + -3y = 0 -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 0 + yI + -1yI -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = yI + -1yI Combine like terms: yI + -1yI = 0 -6 + ix + -2iy + 5x + -8xI + -3y + -1yI = 0 The solution to this equation could not be determined.
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