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Simplifying (4 + -9i) + -1 = x + -1(2 + yi) Remove parenthesis around (4 + -9i) 4 + -9i + -1 = x + -1(2 + yi) Reorder the terms: 4 + -1 + -9i = x + -1(2 + yi) Combine like terms: 4 + -1 = 3 3 + -9i = x + -1(2 + yi) 3 + -9i = x + (2 * -1 + iy * -1) 3 + -9i = x + (-2 + -1iy) Reorder the terms: 3 + -9i = -2 + -1iy + x Solving 3 + -9i = -2 + -1iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'iy' to each side of the equation. 3 + -9i + iy = -2 + -1iy + iy + x Combine like terms: -1iy + iy = 0 3 + -9i + iy = -2 + 0 + x 3 + -9i + iy = -2 + x Add '-3' to each side of the equation. 3 + -9i + -3 + iy = -2 + -3 + x Reorder the terms: 3 + -3 + -9i + iy = -2 + -3 + x Combine like terms: 3 + -3 = 0 0 + -9i + iy = -2 + -3 + x -9i + iy = -2 + -3 + x Combine like terms: -2 + -3 = -5 -9i + iy = -5 + x Reorder the terms: 5 + -9i + iy + -1x = -5 + x + 5 + -1x Reorder the terms: 5 + -9i + iy + -1x = -5 + 5 + x + -1x Combine like terms: -5 + 5 = 0 5 + -9i + iy + -1x = 0 + x + -1x 5 + -9i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 5 + -9i + iy + -1x = 0 The solution to this equation could not be determined.
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