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Simplifying 10.7j + -17.85 = 11.8j + 4.04 Reorder the terms: -17.85 + 10.7j = 11.8j + 4.04 Reorder the terms: -17.85 + 10.7j = 4.04 + 11.8j Solving -17.85 + 10.7j = 4.04 + 11.8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-11.8j' to each side of the equation. -17.85 + 10.7j + -11.8j = 4.04 + 11.8j + -11.8j Combine like terms: 10.7j + -11.8j = -1.1j -17.85 + -1.1j = 4.04 + 11.8j + -11.8j Combine like terms: 11.8j + -11.8j = 0.0 -17.85 + -1.1j = 4.04 + 0.0 -17.85 + -1.1j = 4.04 Add '17.85' to each side of the equation. -17.85 + 17.85 + -1.1j = 4.04 + 17.85 Combine like terms: -17.85 + 17.85 = 0.00 0.00 + -1.1j = 4.04 + 17.85 -1.1j = 4.04 + 17.85 Combine like terms: 4.04 + 17.85 = 21.89 -1.1j = 21.89 Divide each side by '-1.1'. j = -19.9 Simplifying j = -19.9
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