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Simplifying (6x + -3) + -2i = 2 + yi Reorder the terms: (-3 + 6x) + -2i = 2 + yi Remove parenthesis around (-3 + 6x) -3 + 6x + -2i = 2 + yi Reorder the terms: -3 + -2i + 6x = 2 + yi Solving -3 + -2i + 6x = 2 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. -3 + -2i + -1iy + 6x = 2 + iy + -1iy Combine like terms: iy + -1iy = 0 -3 + -2i + -1iy + 6x = 2 + 0 -3 + -2i + -1iy + 6x = 2 Add '3' to each side of the equation. -3 + -2i + -1iy + 3 + 6x = 2 + 3 Reorder the terms: -3 + 3 + -2i + -1iy + 6x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -2i + -1iy + 6x = 2 + 3 -2i + -1iy + 6x = 2 + 3 Combine like terms: 2 + 3 = 5 -2i + -1iy + 6x = 5 Add '-6x' to each side of the equation. -2i + -1iy + 6x + -6x = 5 + -6x Combine like terms: 6x + -6x = 0 -2i + -1iy + 0 = 5 + -6x -2i + -1iy = 5 + -6x Reorder the terms: -5 + -2i + -1iy + 6x = 5 + -6x + -5 + 6x Reorder the terms: -5 + -2i + -1iy + 6x = 5 + -5 + -6x + 6x Combine like terms: 5 + -5 = 0 -5 + -2i + -1iy + 6x = 0 + -6x + 6x -5 + -2i + -1iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -5 + -2i + -1iy + 6x = 0 The solution to this equation could not be determined.
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