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Simplifying 1 + j * 2pi * 10C = -100 Reorder the terms for easier multiplication: 1 + 2 * 10j * ip * C = -100 Multiply 2 * 10 1 + 20j * ip * C = -100 Multiply j * ip 1 + 20ijp * C = -100 Multiply ijp * C 1 + 20ijpC = -100 Solving 1 + 20ijpC = -100 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 20ijpC = -100 + -1 Combine like terms: 1 + -1 = 0 0 + 20ijpC = -100 + -1 20ijpC = -100 + -1 Combine like terms: -100 + -1 = -101 20ijpC = -101 Divide each side by '20jpC'. i = -5.05j-1p-1C-1 Simplifying i = -5.05j-1p-1C-1
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