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Simplifying 6.78j + -5.2 = 4.35j + 2.15 Reorder the terms: -5.2 + 6.78j = 4.35j + 2.15 Reorder the terms: -5.2 + 6.78j = 2.15 + 4.35j Solving -5.2 + 6.78j = 2.15 + 4.35j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4.35j' to each side of the equation. -5.2 + 6.78j + -4.35j = 2.15 + 4.35j + -4.35j Combine like terms: 6.78j + -4.35j = 2.43j -5.2 + 2.43j = 2.15 + 4.35j + -4.35j Combine like terms: 4.35j + -4.35j = 0.00 -5.2 + 2.43j = 2.15 + 0.00 -5.2 + 2.43j = 2.15 Add '5.2' to each side of the equation. -5.2 + 5.2 + 2.43j = 2.15 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 2.43j = 2.15 + 5.2 2.43j = 2.15 + 5.2 Combine like terms: 2.15 + 5.2 = 7.35 2.43j = 7.35 Divide each side by '2.43'. j = 3.024691358 Simplifying j = 3.024691358
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