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Simplifying (2 + 5j) + (4 + 3j) = 0 Remove parenthesis around (2 + 5j) 2 + 5j + (4 + 3j) = 0 Remove parenthesis around (4 + 3j) 2 + 5j + 4 + 3j = 0 Reorder the terms: 2 + 4 + 5j + 3j = 0 Combine like terms: 2 + 4 = 6 6 + 5j + 3j = 0 Combine like terms: 5j + 3j = 8j 6 + 8j = 0 Solving 6 + 8j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8j = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8j = 0 + -6 8j = 0 + -6 Combine like terms: 0 + -6 = -6 8j = -6 Divide each side by '8'. j = -0.75 Simplifying j = -0.75
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