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Simplifying (-3x + 8) + -1(2y + -3) * i = -11 + -4i Reorder the terms: (8 + -3x) + -1(2y + -3) * i = -11 + -4i Remove parenthesis around (8 + -3x) 8 + -3x + -1(2y + -3) * i = -11 + -4i Reorder the terms: 8 + -3x + -1(-3 + 2y) * i = -11 + -4i Reorder the terms for easier multiplication: 8 + -3x + -1i(-3 + 2y) = -11 + -4i 8 + -3x + (-3 * -1i + 2y * -1i) = -11 + -4i 8 + -3x + (3i + -2iy) = -11 + -4i Reorder the terms: 8 + 3i + -2iy + -3x = -11 + -4i Solving 8 + 3i + -2iy + -3x = -11 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. 8 + 3i + -2iy + 4i + -3x = -11 + -4i + 4i Reorder the terms: 8 + 3i + 4i + -2iy + -3x = -11 + -4i + 4i Combine like terms: 3i + 4i = 7i 8 + 7i + -2iy + -3x = -11 + -4i + 4i Combine like terms: -4i + 4i = 0 8 + 7i + -2iy + -3x = -11 + 0 8 + 7i + -2iy + -3x = -11 Add '-8' to each side of the equation. 8 + 7i + -2iy + -8 + -3x = -11 + -8 Reorder the terms: 8 + -8 + 7i + -2iy + -3x = -11 + -8 Combine like terms: 8 + -8 = 0 0 + 7i + -2iy + -3x = -11 + -8 7i + -2iy + -3x = -11 + -8 Combine like terms: -11 + -8 = -19 7i + -2iy + -3x = -19 Add '3x' to each side of the equation. 7i + -2iy + -3x + 3x = -19 + 3x Combine like terms: -3x + 3x = 0 7i + -2iy + 0 = -19 + 3x 7i + -2iy = -19 + 3x Reorder the terms: 19 + 7i + -2iy + -3x = -19 + 3x + 19 + -3x Reorder the terms: 19 + 7i + -2iy + -3x = -19 + 19 + 3x + -3x Combine like terms: -19 + 19 = 0 19 + 7i + -2iy + -3x = 0 + 3x + -3x 19 + 7i + -2iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 19 + 7i + -2iy + -3x = 0 The solution to this equation could not be determined.
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