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Simplifying 6.78j + -5.2 = 4.33j + 2.5 Reorder the terms: -5.2 + 6.78j = 4.33j + 2.5 Reorder the terms: -5.2 + 6.78j = 2.5 + 4.33j Solving -5.2 + 6.78j = 2.5 + 4.33j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4.33j' to each side of the equation. -5.2 + 6.78j + -4.33j = 2.5 + 4.33j + -4.33j Combine like terms: 6.78j + -4.33j = 2.45j -5.2 + 2.45j = 2.5 + 4.33j + -4.33j Combine like terms: 4.33j + -4.33j = 0.00 -5.2 + 2.45j = 2.5 + 0.00 -5.2 + 2.45j = 2.5 Add '5.2' to each side of the equation. -5.2 + 5.2 + 2.45j = 2.5 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 2.45j = 2.5 + 5.2 2.45j = 2.5 + 5.2 Combine like terms: 2.5 + 5.2 = 7.7 2.45j = 7.7 Divide each side by '2.45'. j = 3.142857143 Simplifying j = 3.142857143
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