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Simplifying 6.78j + -5.2 = 4.33 + 2.15j Reorder the terms: -5.2 + 6.78j = 4.33 + 2.15j Solving -5.2 + 6.78j = 4.33 + 2.15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2.15j' to each side of the equation. -5.2 + 6.78j + -2.15j = 4.33 + 2.15j + -2.15j Combine like terms: 6.78j + -2.15j = 4.63j -5.2 + 4.63j = 4.33 + 2.15j + -2.15j Combine like terms: 2.15j + -2.15j = 0.00 -5.2 + 4.63j = 4.33 + 0.00 -5.2 + 4.63j = 4.33 Add '5.2' to each side of the equation. -5.2 + 5.2 + 4.63j = 4.33 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 4.63j = 4.33 + 5.2 4.63j = 4.33 + 5.2 Combine like terms: 4.33 + 5.2 = 9.53 4.63j = 9.53 Divide each side by '4.63'. j = 2.058315335 Simplifying j = 2.058315335
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