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Simplifying 1 + j * 2 * 3.14 * 10C = -100 Reorder the terms for easier multiplication: 1 + 2 * 3.14 * 10j * C = -100 Multiply 2 * 3.14 1 + 6.28 * 10j * C = -100 Multiply 6.28 * 10 1 + 62.8j * C = -100 Multiply j * C 1 + 62.8jC = -100 Solving 1 + 62.8jC = -100 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 62.8jC = -100 + -1 Combine like terms: 1 + -1 = 0 0 + 62.8jC = -100 + -1 62.8jC = -100 + -1 Combine like terms: -100 + -1 = -101 62.8jC = -101 Divide each side by '62.8C'. j = -1.608280255C-1 Simplifying j = -1.608280255C-1
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