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Simplifying 7.8j + -5.8j + -5 = 3 Reorder the terms: -5 + 7.8j + -5.8j = 3 Combine like terms: 7.8j + -5.8j = 2j -5 + 2j = 3 Solving -5 + 2j = 3 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2j = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2j = 3 + 5 2j = 3 + 5 Combine like terms: 3 + 5 = 8 2j = 8 Divide each side by '2'. j = 4 Simplifying j = 4
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