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Simplifying 9 + -1x + (6 + -1y) * i = -2 + 4i Reorder the terms for easier multiplication: 9 + -1x + i(6 + -1y) = -2 + 4i 9 + -1x + (6 * i + -1y * i) = -2 + 4i 9 + -1x + (6i + -1iy) = -2 + 4i Reorder the terms: 9 + 6i + -1iy + -1x = -2 + 4i Solving 9 + 6i + -1iy + -1x = -2 + 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. 9 + 6i + -1iy + -4i + -1x = -2 + 4i + -4i Reorder the terms: 9 + 6i + -4i + -1iy + -1x = -2 + 4i + -4i Combine like terms: 6i + -4i = 2i 9 + 2i + -1iy + -1x = -2 + 4i + -4i Combine like terms: 4i + -4i = 0 9 + 2i + -1iy + -1x = -2 + 0 9 + 2i + -1iy + -1x = -2 Add '-9' to each side of the equation. 9 + 2i + -1iy + -9 + -1x = -2 + -9 Reorder the terms: 9 + -9 + 2i + -1iy + -1x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 2i + -1iy + -1x = -2 + -9 2i + -1iy + -1x = -2 + -9 Combine like terms: -2 + -9 = -11 2i + -1iy + -1x = -11 Add 'x' to each side of the equation. 2i + -1iy + -1x + x = -11 + x Combine like terms: -1x + x = 0 2i + -1iy + 0 = -11 + x 2i + -1iy = -11 + x Reorder the terms: 11 + 2i + -1iy + -1x = -11 + x + 11 + -1x Reorder the terms: 11 + 2i + -1iy + -1x = -11 + 11 + x + -1x Combine like terms: -11 + 11 = 0 11 + 2i + -1iy + -1x = 0 + x + -1x 11 + 2i + -1iy + -1x = x + -1x Combine like terms: x + -1x = 0 11 + 2i + -1iy + -1x = 0 The solution to this equation could not be determined.
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