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Simplifying 17.8j + 5.03 + -8.7j = 8.1j + -10.27 Reorder the terms: 5.03 + 17.8j + -8.7j = 8.1j + -10.27 Combine like terms: 17.8j + -8.7j = 9.1j 5.03 + 9.1j = 8.1j + -10.27 Reorder the terms: 5.03 + 9.1j = -10.27 + 8.1j Solving 5.03 + 9.1j = -10.27 + 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. 5.03 + 9.1j + -8.1j = -10.27 + 8.1j + -8.1j Combine like terms: 9.1j + -8.1j = 1j 5.03 + 1j = -10.27 + 8.1j + -8.1j Combine like terms: 8.1j + -8.1j = 0.0 5.03 + 1j = -10.27 + 0.0 5.03 + 1j = -10.27 Add '-5.03' to each side of the equation. 5.03 + -5.03 + 1j = -10.27 + -5.03 Combine like terms: 5.03 + -5.03 = 0.00 0.00 + 1j = -10.27 + -5.03 1j = -10.27 + -5.03 Combine like terms: -10.27 + -5.03 = -15.3 1j = -15.3 Divide each side by '1'. j = -15.3 Simplifying j = -15.3
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