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Simplifying 4x + 7i = -6 + yi Reorder the terms: 7i + 4x = -6 + yi Solving 7i + 4x = -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 + 4x = -6 + iy + -1iy Combine like terms: iy + -1iy = 0 7i + -1iy + 4x = -6 + 0 7i + -1iy + 4x = -6 Add '-4x' to each side of the equation. 7i + -1iy + 4x + -4x = -6 + -4x Combine like terms: 4x + -4x = 0 7i + -1iy + 0 = -6 + -4x 7i + -1iy = -6 + -4x Reorder the terms: 6 + 7i + -1iy + 4x = -6 + -4x + 6 + 4x Reorder the terms: 6 + 7i + -1iy + 4x = -6 + 6 + -4x + 4x Combine like terms: -6 + 6 = 0 6 + 7i + -1iy + 4x = 0 + -4x + 4x 6 + 7i + -1iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7i + -1iy + 4x = 0 The solution to this equation could not be determined.
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