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Simplifying x + -7i = 6 + yi Reorder the terms: -7i + x = 6 + yi Solving -7i + x = 6 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. -7i + -1iy + x = 6 + iy + -1iy Combine like terms: iy + -1iy = 0 -7i + -1iy + x = 6 + 0 -7i + -1iy + x = 6 Add '-1x' to each side of the equation. -7i + -1iy + x + -1x = 6 + -1x Combine like terms: x + -1x = 0 -7i + -1iy + 0 = 6 + -1x -7i + -1iy = 6 + -1x Reorder the terms: -6 + -7i + -1iy + x = 6 + -1x + -6 + x Reorder the terms: -6 + -7i + -1iy + x = 6 + -6 + -1x + x Combine like terms: 6 + -6 = 0 -6 + -7i + -1iy + x = 0 + -1x + x -6 + -7i + -1iy + x = -1x + x Combine like terms: -1x + x = 0 -6 + -7i + -1iy + x = 0 The solution to this equation could not be determined.
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