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Simplifying (3x + -4y) + (6x + 2y) * i = 5i Remove parenthesis around (3x + -4y) 3x + -4y + (6x + 2y) * i = 5i Reorder the terms for easier multiplication: 3x + -4y + i(6x + 2y) = 5i 3x + -4y + (6x * i + 2y * i) = 5i 3x + -4y + (6ix + 2iy) = 5i Reorder the terms: 6ix + 2iy + 3x + -4y = 5i Solving 6ix + 2iy + 3x + -4y = 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 6ix + 2iy + 3x + -5i + -4y = 5i + -5i Reorder the terms: -5i + 6ix + 2iy + 3x + -4y = 5i + -5i Combine like terms: 5i + -5i = 0 -5i + 6ix + 2iy + 3x + -4y = 0 Add '-3x' to each side of the equation. -5i + 6ix + 2iy + 3x + -3x + -4y = 0 + -3x Combine like terms: 3x + -3x = 0 -5i + 6ix + 2iy + 0 + -4y = 0 + -3x -5i + 6ix + 2iy + -4y = 0 + -3x Remove the zero: -5i + 6ix + 2iy + -4y = -3x Add '4y' to each side of the equation. -5i + 6ix + 2iy + -4y + 4y = -3x + 4y Combine like terms: -4y + 4y = 0 -5i + 6ix + 2iy + 0 = -3x + 4y -5i + 6ix + 2iy = -3x + 4y Reorder the terms: -5i + 6ix + 2iy + 3x + -4y = -3x + 3x + 4y + -4y Combine like terms: -3x + 3x = 0 -5i + 6ix + 2iy + 3x + -4y = 0 + 4y + -4y -5i + 6ix + 2iy + 3x + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -5i + 6ix + 2iy + 3x + -4y = 0 The solution to this equation could not be determined.
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