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Simplifying (3x + 4) + (5y + -1) * i = 10 + -16i Reorder the terms: (4 + 3x) + (5y + -1) * i = 10 + -16i Remove parenthesis around (4 + 3x) 4 + 3x + (5y + -1) * i = 10 + -16i Reorder the terms: 4 + 3x + (-1 + 5y) * i = 10 + -16i Reorder the terms for easier multiplication: 4 + 3x + i(-1 + 5y) = 10 + -16i 4 + 3x + (-1 * i + 5y * i) = 10 + -16i 4 + 3x + (-1i + 5iy) = 10 + -16i Reorder the terms: 4 + -1i + 5iy + 3x = 10 + -16i Solving 4 + -1i + 5iy + 3x = 10 + -16i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16i' to each side of the equation. 4 + -1i + 5iy + 16i + 3x = 10 + -16i + 16i Reorder the terms: 4 + -1i + 16i + 5iy + 3x = 10 + -16i + 16i Combine like terms: -1i + 16i = 15i 4 + 15i + 5iy + 3x = 10 + -16i + 16i Combine like terms: -16i + 16i = 0 4 + 15i + 5iy + 3x = 10 + 0 4 + 15i + 5iy + 3x = 10 Add '-4' to each side of the equation. 4 + 15i + 5iy + -4 + 3x = 10 + -4 Reorder the terms: 4 + -4 + 15i + 5iy + 3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 15i + 5iy + 3x = 10 + -4 15i + 5iy + 3x = 10 + -4 Combine like terms: 10 + -4 = 6 15i + 5iy + 3x = 6 Add '-3x' to each side of the equation. 15i + 5iy + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 15i + 5iy + 0 = 6 + -3x 15i + 5iy = 6 + -3x Reorder the terms: -6 + 15i + 5iy + 3x = 6 + -3x + -6 + 3x Reorder the terms: -6 + 15i + 5iy + 3x = 6 + -6 + -3x + 3x Combine like terms: 6 + -6 = 0 -6 + 15i + 5iy + 3x = 0 + -3x + 3x -6 + 15i + 5iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 15i + 5iy + 3x = 0 The solution to this equation could not be determined.
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