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Simplifying -7 + -9i + 9x = 13 + 3i + 6yi Solving -7 + -9i + 9x = 13 + 3i + 6iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. -7 + -9i + -3i + 9x = 13 + 3i + -3i + 6iy Combine like terms: -9i + -3i = -12i -7 + -12i + 9x = 13 + 3i + -3i + 6iy Combine like terms: 3i + -3i = 0 -7 + -12i + 9x = 13 + 0 + 6iy -7 + -12i + 9x = 13 + 6iy Add '-6iy' to each side of the equation. -7 + -12i + -6iy + 9x = 13 + 6iy + -6iy Combine like terms: 6iy + -6iy = 0 -7 + -12i + -6iy + 9x = 13 + 0 -7 + -12i + -6iy + 9x = 13 Add '7' to each side of the equation. -7 + -12i + -6iy + 7 + 9x = 13 + 7 Reorder the terms: -7 + 7 + -12i + -6iy + 9x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -12i + -6iy + 9x = 13 + 7 -12i + -6iy + 9x = 13 + 7 Combine like terms: 13 + 7 = 20 -12i + -6iy + 9x = 20 Add '-9x' to each side of the equation. -12i + -6iy + 9x + -9x = 20 + -9x Combine like terms: 9x + -9x = 0 -12i + -6iy + 0 = 20 + -9x -12i + -6iy = 20 + -9x Reorder the terms: -20 + -12i + -6iy + 9x = 20 + -9x + -20 + 9x Reorder the terms: -20 + -12i + -6iy + 9x = 20 + -20 + -9x + 9x Combine like terms: 20 + -20 = 0 -20 + -12i + -6iy + 9x = 0 + -9x + 9x -20 + -12i + -6iy + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 -20 + -12i + -6iy + 9x = 0 The solution to this equation could not be determined.
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