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Simplifying (x + -7) + 4yi = 9 + (y + -21) * i Reorder the terms: (-7 + x) + 4yi = 9 + (y + -21) * i Remove parenthesis around (-7 + x) -7 + x + 4yi = 9 + (y + -21) * i Reorder the terms: -7 + 4iy + x = 9 + (y + -21) * i Reorder the terms: -7 + 4iy + x = 9 + (-21 + y) * i Reorder the terms for easier multiplication: -7 + 4iy + x = 9 + i(-21 + y) -7 + 4iy + x = 9 + (-21 * i + y * i) -7 + 4iy + x = 9 + (-21i + iy) Solving -7 + 4iy + x = 9 + -21i + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '21i' to each side of the equation. -7 + 4iy + 21i + x = 9 + -21i + 21i + iy Reorder the terms: -7 + 21i + 4iy + x = 9 + -21i + 21i + iy Combine like terms: -21i + 21i = 0 -7 + 21i + 4iy + x = 9 + 0 + iy -7 + 21i + 4iy + x = 9 + iy Add '-1iy' to each side of the equation. -7 + 21i + 4iy + -1iy + x = 9 + iy + -1iy Combine like terms: 4iy + -1iy = 3iy -7 + 21i + 3iy + x = 9 + iy + -1iy Combine like terms: iy + -1iy = 0 -7 + 21i + 3iy + x = 9 + 0 -7 + 21i + 3iy + x = 9 Add '7' to each side of the equation. -7 + 21i + 3iy + 7 + x = 9 + 7 Reorder the terms: -7 + 7 + 21i + 3iy + x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 21i + 3iy + x = 9 + 7 21i + 3iy + x = 9 + 7 Combine like terms: 9 + 7 = 16 21i + 3iy + x = 16 Add '-1x' to each side of the equation. 21i + 3iy + x + -1x = 16 + -1x Combine like terms: x + -1x = 0 21i + 3iy + 0 = 16 + -1x 21i + 3iy = 16 + -1x Reorder the terms: -16 + 21i + 3iy + x = 16 + -1x + -16 + x Reorder the terms: -16 + 21i + 3iy + x = 16 + -16 + -1x + x Combine like terms: 16 + -16 = 0 -16 + 21i + 3iy + x = 0 + -1x + x -16 + 21i + 3iy + x = -1x + x Combine like terms: -1x + x = 0 -16 + 21i + 3iy + x = 0 The solution to this equation could not be determined.
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