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Simplifying 3x + 4yi = (7 + -5i) * 2 Reorder the terms: 4iy + 3x = (7 + -5i) * 2 Reorder the terms for easier multiplication: 4iy + 3x = 2(7 + -5i) 4iy + 3x = (7 * 2 + -5i * 2) 4iy + 3x = (14 + -10i) Solving 4iy + 3x = 14 + -10i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10i' to each side of the equation. 4iy + 10i + 3x = 14 + -10i + 10i Reorder the terms: 10i + 4iy + 3x = 14 + -10i + 10i Combine like terms: -10i + 10i = 0 10i + 4iy + 3x = 14 + 0 10i + 4iy + 3x = 14 Add '-3x' to each side of the equation. 10i + 4iy + 3x + -3x = 14 + -3x Combine like terms: 3x + -3x = 0 10i + 4iy + 0 = 14 + -3x 10i + 4iy = 14 + -3x Reorder the terms: -14 + 10i + 4iy + 3x = 14 + -3x + -14 + 3x Reorder the terms: -14 + 10i + 4iy + 3x = 14 + -14 + -3x + 3x Combine like terms: 14 + -14 = 0 -14 + 10i + 4iy + 3x = 0 + -3x + 3x -14 + 10i + 4iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 10i + 4iy + 3x = 0 The solution to this equation could not be determined.
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