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Simplifying (2x + -4) + 9i = 8 + 3yi Reorder the terms: (-4 + 2x) + 9i = 8 + 3yi Remove parenthesis around (-4 + 2x) -4 + 2x + 9i = 8 + 3yi Reorder the terms: -4 + 9i + 2x = 8 + 3yi Solving -4 + 9i + 2x = 8 + 3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3iy' to each side of the equation. -4 + 9i + -3iy + 2x = 8 + 3iy + -3iy Combine like terms: 3iy + -3iy = 0 -4 + 9i + -3iy + 2x = 8 + 0 -4 + 9i + -3iy + 2x = 8 Add '4' to each side of the equation. -4 + 9i + -3iy + 4 + 2x = 8 + 4 Reorder the terms: -4 + 4 + 9i + -3iy + 2x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 9i + -3iy + 2x = 8 + 4 9i + -3iy + 2x = 8 + 4 Combine like terms: 8 + 4 = 12 9i + -3iy + 2x = 12 Add '-2x' to each side of the equation. 9i + -3iy + 2x + -2x = 12 + -2x Combine like terms: 2x + -2x = 0 9i + -3iy + 0 = 12 + -2x 9i + -3iy = 12 + -2x Reorder the terms: -12 + 9i + -3iy + 2x = 12 + -2x + -12 + 2x Reorder the terms: -12 + 9i + -3iy + 2x = 12 + -12 + -2x + 2x Combine like terms: 12 + -12 = 0 -12 + 9i + -3iy + 2x = 0 + -2x + 2x -12 + 9i + -3iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 9i + -3iy + 2x = 0 The solution to this equation could not be determined.
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