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Simplifying (5x + 2) + (3y + -4) * I = -8 + 11i Reorder the terms: (2 + 5x) + (3y + -4) * I = -8 + 11i Remove parenthesis around (2 + 5x) 2 + 5x + (3y + -4) * I = -8 + 11i Reorder the terms: 2 + 5x + (-4 + 3y) * I = -8 + 11i Reorder the terms for easier multiplication: 2 + 5x + I(-4 + 3y) = -8 + 11i 2 + 5x + (-4 * I + 3y * I) = -8 + 11i 2 + 5x + (-4I + 3yI) = -8 + 11i Reorder the terms: 2 + -4I + 5x + 3yI = -8 + 11i Solving 2 + -4I + 5x + 3yI = -8 + 11i Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4I + 5x + -2 + 3yI = -8 + -2 + 11i Reorder the terms: 2 + -2 + -4I + 5x + 3yI = -8 + -2 + 11i Combine like terms: 2 + -2 = 0 0 + -4I + 5x + 3yI = -8 + -2 + 11i -4I + 5x + 3yI = -8 + -2 + 11i Combine like terms: -8 + -2 = -10 -4I + 5x + 3yI = -10 + 11i Add '-5x' to each side of the equation. -4I + 5x + -5x + 3yI = -10 + 11i + -5x Combine like terms: 5x + -5x = 0 -4I + 0 + 3yI = -10 + 11i + -5x -4I + 3yI = -10 + 11i + -5x Reorder the terms: 10 + -4I + -11i + 5x + 3yI = -10 + 11i + -5x + 10 + -11i + 5x Reorder the terms: 10 + -4I + -11i + 5x + 3yI = -10 + 10 + 11i + -11i + -5x + 5x Combine like terms: -10 + 10 = 0 10 + -4I + -11i + 5x + 3yI = 0 + 11i + -11i + -5x + 5x 10 + -4I + -11i + 5x + 3yI = 11i + -11i + -5x + 5x Combine like terms: 11i + -11i = 0 10 + -4I + -11i + 5x + 3yI = 0 + -5x + 5x 10 + -4I + -11i + 5x + 3yI = -5x + 5x Combine like terms: -5x + 5x = 0 10 + -4I + -11i + 5x + 3yI = 0 The solution to this equation could not be determined.
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