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Simplifying 4 + 2i + -1(x + 4i) = 9 + -2yi Reorder the terms: 4 + 2i + -1(4i + x) = 9 + -2yi 4 + 2i + (4i * -1 + x * -1) = 9 + -2yi 4 + 2i + (-4i + -1x) = 9 + -2yi Combine like terms: 2i + -4i = -2i 4 + -2i + -1x = 9 + -2yi Solving 4 + -2i + -1x = 9 + -2iy 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. 4 + -2i + 2iy + -1x = 9 + -2iy + 2iy Combine like terms: -2iy + 2iy = 0 4 + -2i + 2iy + -1x = 9 + 0 4 + -2i + 2iy + -1x = 9 Add '-4' to each side of the equation. 4 + -2i + 2iy + -4 + -1x = 9 + -4 Reorder the terms: 4 + -4 + -2i + 2iy + -1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -2i + 2iy + -1x = 9 + -4 -2i + 2iy + -1x = 9 + -4 Combine like terms: 9 + -4 = 5 -2i + 2iy + -1x = 5 Add 'x' to each side of the equation. -2i + 2iy + -1x + x = 5 + x Combine like terms: -1x + x = 0 -2i + 2iy + 0 = 5 + x -2i + 2iy = 5 + x Reorder the terms: -5 + -2i + 2iy + -1x = 5 + x + -5 + -1x Reorder the terms: -5 + -2i + 2iy + -1x = 5 + -5 + x + -1x Combine like terms: 5 + -5 = 0 -5 + -2i + 2iy + -1x = 0 + x + -1x -5 + -2i + 2iy + -1x = x + -1x Combine like terms: x + -1x = 0 -5 + -2i + 2iy + -1x = 0 The solution to this equation could not be determined.
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