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Simplifying 8 + -8i = 5x + -5 + (-1y + 2) * I Reorder the terms: 8 + -8i = 5x + -5 + (2 + -1y) * I Reorder the terms for easier multiplication: 8 + -8i = 5x + -5 + I(2 + -1y) 8 + -8i = 5x + -5 + (2 * I + -1y * I) 8 + -8i = 5x + -5 + (2I + -1yI) Reorder the terms: 8 + -8i = -5 + 2I + 5x + -1yI Solving 8 + -8i = -5 + 2I + 5x + -1yI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -8i = -5 + 2I + 5x + -8 + -1yI Combine like terms: 8 + -8 = 0 0 + -8i = -5 + 2I + 5x + -8 + -1yI -8i = -5 + 2I + 5x + -8 + -1yI Reorder the terms: -8i = -5 + -8 + 2I + 5x + -1yI Combine like terms: -5 + -8 = -13 -8i = -13 + 2I + 5x + -1yI Divide each side by '-8'. i = 1.625 + -0.25I + -0.625x + 0.125yI Simplifying i = 1.625 + -0.25I + -0.625x + 0.125yI
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