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Simplifying (2 + -3i) + (x + yi) = 6 Remove parenthesis around (2 + -3i) 2 + -3i + (x + yi) = 6 Reorder the terms: 2 + -3i + (iy + x) = 6 Remove parenthesis around (iy + x) 2 + -3i + iy + x = 6 Solving 2 + -3i + iy + x = 6 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3i + iy + -2 + x = 6 + -2 Reorder the terms: 2 + -2 + -3i + iy + x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -3i + iy + x = 6 + -2 -3i + iy + x = 6 + -2 Combine like terms: 6 + -2 = 4 -3i + iy + x = 4 Add '-1x' to each side of the equation. -3i + iy + x + -1x = 4 + -1x Combine like terms: x + -1x = 0 -3i + iy + 0 = 4 + -1x -3i + iy = 4 + -1x Reorder the terms: -4 + -3i + iy + x = 4 + -1x + -4 + x Reorder the terms: -4 + -3i + iy + x = 4 + -4 + -1x + x Combine like terms: 4 + -4 = 0 -4 + -3i + iy + x = 0 + -1x + x -4 + -3i + iy + x = -1x + x Combine like terms: -1x + x = 0 -4 + -3i + iy + x = 0 The solution to this equation could not be determined.
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