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Simplifying 7 + 8i = x + yi Reorder the terms: 7 + 8i = iy + x Solving 7 + 8i = iy + x 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. 7 + 8i + -1iy = iy + -1iy + x Combine like terms: iy + -1iy = 0 7 + 8i + -1iy = 0 + x 7 + 8i + -1iy = x Add '-7' to each side of the equation. 7 + 8i + -7 + -1iy = -7 + x Reorder the terms: 7 + -7 + 8i + -1iy = -7 + x Combine like terms: 7 + -7 = 0 0 + 8i + -1iy = -7 + x 8i + -1iy = -7 + x Reorder the terms: 7 + 8i + -1iy + -1x = -7 + x + 7 + -1x Reorder the terms: 7 + 8i + -1iy + -1x = -7 + 7 + x + -1x Combine like terms: -7 + 7 = 0 7 + 8i + -1iy + -1x = 0 + x + -1x 7 + 8i + -1iy + -1x = x + -1x Combine like terms: x + -1x = 0 7 + 8i + -1iy + -1x = 0 The solution to this equation could not be determined.
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