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Simplifying (1 + 3j) + (7 + -5j) = 0 Remove parenthesis around (1 + 3j) 1 + 3j + (7 + -5j) = 0 Remove parenthesis around (7 + -5j) 1 + 3j + 7 + -5j = 0 Reorder the terms: 1 + 7 + 3j + -5j = 0 Combine like terms: 1 + 7 = 8 8 + 3j + -5j = 0 Combine like terms: 3j + -5j = -2j 8 + -2j = 0 Solving 8 + -2j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2j = 0 + -8 -2j = 0 + -8 Combine like terms: 0 + -8 = -8 -2j = -8 Divide each side by '-2'. j = 4 Simplifying j = 4
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