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