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Simplifying -12.62 + -20j + -8.2j = 5.7j + 7.72 Combine like terms: -20j + -8.2j = -28.2j -12.62 + -28.2j = 5.7j + 7.72 Reorder the terms: -12.62 + -28.2j = 7.72 + 5.7j Solving -12.62 + -28.2j = 7.72 + 5.7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5.7j' to each side of the equation. -12.62 + -28.2j + -5.7j = 7.72 + 5.7j + -5.7j Combine like terms: -28.2j + -5.7j = -33.9j -12.62 + -33.9j = 7.72 + 5.7j + -5.7j Combine like terms: 5.7j + -5.7j = 0.0 -12.62 + -33.9j = 7.72 + 0.0 -12.62 + -33.9j = 7.72 Add '12.62' to each side of the equation. -12.62 + 12.62 + -33.9j = 7.72 + 12.62 Combine like terms: -12.62 + 12.62 = 0.00 0.00 + -33.9j = 7.72 + 12.62 -33.9j = 7.72 + 12.62 Combine like terms: 7.72 + 12.62 = 20.34 -33.9j = 20.34 Divide each side by '-33.9'. j = -0.6 Simplifying j = -0.6
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