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Simplifying (8 + -6i) + -4 = x + -1(1 + yi) Remove parenthesis around (8 + -6i) 8 + -6i + -4 = x + -1(1 + yi) Reorder the terms: 8 + -4 + -6i = x + -1(1 + yi) Combine like terms: 8 + -4 = 4 4 + -6i = x + -1(1 + yi) 4 + -6i = x + (1 * -1 + iy * -1) 4 + -6i = x + (-1 + -1iy) Reorder the terms: 4 + -6i = -1 + -1iy + x Solving 4 + -6i = -1 + -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. 4 + -6i + iy = -1 + -1iy + iy + x Combine like terms: -1iy + iy = 0 4 + -6i + iy = -1 + 0 + x 4 + -6i + iy = -1 + x Add '-4' to each side of the equation. 4 + -6i + -4 + iy = -1 + -4 + x Reorder the terms: 4 + -4 + -6i + iy = -1 + -4 + x Combine like terms: 4 + -4 = 0 0 + -6i + iy = -1 + -4 + x -6i + iy = -1 + -4 + x Combine like terms: -1 + -4 = -5 -6i + iy = -5 + x Reorder the terms: 5 + -6i + iy + -1x = -5 + x + 5 + -1x Reorder the terms: 5 + -6i + iy + -1x = -5 + 5 + x + -1x Combine like terms: -5 + 5 = 0 5 + -6i + iy + -1x = 0 + x + -1x 5 + -6i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 5 + -6i + iy + -1x = 0 The solution to this equation could not be determined.
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