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Simplifying 13.8j + 17.42 = -19.76 + 8.1j + 4.12 Reorder the terms: 17.42 + 13.8j = -19.76 + 8.1j + 4.12 Reorder the terms: 17.42 + 13.8j = -19.76 + 4.12 + 8.1j Combine like terms: -19.76 + 4.12 = -15.64 17.42 + 13.8j = -15.64 + 8.1j Solving 17.42 + 13.8j = -15.64 + 8.1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8.1j' to each side of the equation. 17.42 + 13.8j + -8.1j = -15.64 + 8.1j + -8.1j Combine like terms: 13.8j + -8.1j = 5.7j 17.42 + 5.7j = -15.64 + 8.1j + -8.1j Combine like terms: 8.1j + -8.1j = 0.0 17.42 + 5.7j = -15.64 + 0.0 17.42 + 5.7j = -15.64 Add '-17.42' to each side of the equation. 17.42 + -17.42 + 5.7j = -15.64 + -17.42 Combine like terms: 17.42 + -17.42 = 0.00 0.00 + 5.7j = -15.64 + -17.42 5.7j = -15.64 + -17.42 Combine like terms: -15.64 + -17.42 = -33.06 5.7j = -33.06 Divide each side by '5.7'. j = -5.8 Simplifying j = -5.8
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