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Simplifying -8.72 + -3.1j = -1.4j + -5.4 + 6.6j Reorder the terms: -8.72 + -3.1j = -5.4 + -1.4j + 6.6j Combine like terms: -1.4j + 6.6j = 5.2j -8.72 + -3.1j = -5.4 + 5.2j Solving -8.72 + -3.1j = -5.4 + 5.2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5.2j' to each side of the equation. -8.72 + -3.1j + -5.2j = -5.4 + 5.2j + -5.2j Combine like terms: -3.1j + -5.2j = -8.3j -8.72 + -8.3j = -5.4 + 5.2j + -5.2j Combine like terms: 5.2j + -5.2j = 0.0 -8.72 + -8.3j = -5.4 + 0.0 -8.72 + -8.3j = -5.4 Add '8.72' to each side of the equation. -8.72 + 8.72 + -8.3j = -5.4 + 8.72 Combine like terms: -8.72 + 8.72 = 0.00 0.00 + -8.3j = -5.4 + 8.72 -8.3j = -5.4 + 8.72 Combine like terms: -5.4 + 8.72 = 3.32 -8.3j = 3.32 Divide each side by '-8.3'. j = -0.4 Simplifying j = -0.4
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