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Simplifying -4.4j + 13.54 = -16.98 + -15.1j + -17.63 Reorder the terms: 13.54 + -4.4j = -16.98 + -15.1j + -17.63 Reorder the terms: 13.54 + -4.4j = -16.98 + -17.63 + -15.1j Combine like terms: -16.98 + -17.63 = -34.61 13.54 + -4.4j = -34.61 + -15.1j Solving 13.54 + -4.4j = -34.61 + -15.1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '15.1j' to each side of the equation. 13.54 + -4.4j + 15.1j = -34.61 + -15.1j + 15.1j Combine like terms: -4.4j + 15.1j = 10.7j 13.54 + 10.7j = -34.61 + -15.1j + 15.1j Combine like terms: -15.1j + 15.1j = 0.0 13.54 + 10.7j = -34.61 + 0.0 13.54 + 10.7j = -34.61 Add '-13.54' to each side of the equation. 13.54 + -13.54 + 10.7j = -34.61 + -13.54 Combine like terms: 13.54 + -13.54 = 0.00 0.00 + 10.7j = -34.61 + -13.54 10.7j = -34.61 + -13.54 Combine like terms: -34.61 + -13.54 = -48.15 10.7j = -48.15 Divide each side by '10.7'. j = -4.5 Simplifying j = -4.5
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