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