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Simplifying 5x + yi = 10 + I Reorder the terms: iy + 5x = 10 + I Solving iy + 5x = 10 + I Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5x' to each side of the equation. iy + 5x + -5x = 10 + I + -5x Combine like terms: 5x + -5x = 0 iy + 0 = 10 + I + -5x iy = 10 + I + -5x Divide each side by 'y'. i = 10y-1 + y-1I + -5xy-1 Simplifying i = 10y-1 + y-1I + -5xy-1 Reorder the terms: i = -5xy-1 + 10y-1 + y-1I
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