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Simplifying (2i + -1) * x + (6 + 3i) * y = 8 + -4i Reorder the terms: (-1 + 2i) * x + (6 + 3i) * y = 8 + -4i Reorder the terms for easier multiplication: x(-1 + 2i) + (6 + 3i) * y = 8 + -4i (-1 * x + 2i * x) + (6 + 3i) * y = 8 + -4i Reorder the terms: (2ix + -1x) + (6 + 3i) * y = 8 + -4i (2ix + -1x) + (6 + 3i) * y = 8 + -4i Reorder the terms for easier multiplication: 2ix + -1x + y(6 + 3i) = 8 + -4i 2ix + -1x + (6 * y + 3i * y) = 8 + -4i Reorder the terms: 2ix + -1x + (3iy + 6y) = 8 + -4i 2ix + -1x + (3iy + 6y) = 8 + -4i Reorder the terms: 2ix + 3iy + -1x + 6y = 8 + -4i Solving 2ix + 3iy + -1x + 6y = 8 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. 2ix + 3iy + -1x + 4i + 6y = 8 + -4i + 4i Reorder the terms: 4i + 2ix + 3iy + -1x + 6y = 8 + -4i + 4i Combine like terms: -4i + 4i = 0 4i + 2ix + 3iy + -1x + 6y = 8 + 0 4i + 2ix + 3iy + -1x + 6y = 8 Add 'x' to each side of the equation. 4i + 2ix + 3iy + -1x + x + 6y = 8 + x Combine like terms: -1x + x = 0 4i + 2ix + 3iy + 0 + 6y = 8 + x 4i + 2ix + 3iy + 6y = 8 + x Add '-6y' to each side of the equation. 4i + 2ix + 3iy + 6y + -6y = 8 + x + -6y Combine like terms: 6y + -6y = 0 4i + 2ix + 3iy + 0 = 8 + x + -6y 4i + 2ix + 3iy = 8 + x + -6y Reorder the terms: -8 + 4i + 2ix + 3iy + -1x + 6y = 8 + x + -6y + -8 + -1x + 6y Reorder the terms: -8 + 4i + 2ix + 3iy + -1x + 6y = 8 + -8 + x + -1x + -6y + 6y Combine like terms: 8 + -8 = 0 -8 + 4i + 2ix + 3iy + -1x + 6y = 0 + x + -1x + -6y + 6y -8 + 4i + 2ix + 3iy + -1x + 6y = x + -1x + -6y + 6y Combine like terms: x + -1x = 0 -8 + 4i + 2ix + 3iy + -1x + 6y = 0 + -6y + 6y -8 + 4i + 2ix + 3iy + -1x + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -8 + 4i + 2ix + 3iy + -1x + 6y = 0 The solution to this equation could not be determined.
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