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Simplifying (8 + -1yi) + -1(x + -3i) = 2 Remove parenthesis around (8 + -1iy) 8 + -1iy + -1(x + -3i) = 2 Reorder the terms: 8 + -1iy + -1(-3i + x) = 2 8 + -1iy + (-3i * -1 + x * -1) = 2 8 + -1iy + (3i + -1x) = 2 Reorder the terms: 8 + 3i + -1iy + -1x = 2 Solving 8 + 3i + -1iy + -1x = 2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3i + -1iy + -8 + -1x = 2 + -8 Reorder the terms: 8 + -8 + 3i + -1iy + -1x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3i + -1iy + -1x = 2 + -8 3i + -1iy + -1x = 2 + -8 Combine like terms: 2 + -8 = -6 3i + -1iy + -1x = -6 Add 'x' to each side of the equation. 3i + -1iy + -1x + x = -6 + x Combine like terms: -1x + x = 0 3i + -1iy + 0 = -6 + x 3i + -1iy = -6 + x Reorder the terms: 6 + 3i + -1iy + -1x = -6 + x + 6 + -1x Reorder the terms: 6 + 3i + -1iy + -1x = -6 + 6 + x + -1x Combine like terms: -6 + 6 = 0 6 + 3i + -1iy + -1x = 0 + x + -1x 6 + 3i + -1iy + -1x = x + -1x Combine like terms: x + -1x = 0 6 + 3i + -1iy + -1x = 0 The solution to this equation could not be determined.
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