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Simplifying (5 + -2j) + (3 + j) = 0 Remove parenthesis around (5 + -2j) 5 + -2j + (3 + j) = 0 Remove parenthesis around (3 + j) 5 + -2j + 3 + j = 0 Reorder the terms: 5 + 3 + -2j + j = 0 Combine like terms: 5 + 3 = 8 8 + -2j + j = 0 Combine like terms: -2j + j = -1j 8 + -1j = 0 Solving 8 + -1j = 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 + -1j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1j = 0 + -8 -1j = 0 + -8 Combine like terms: 0 + -8 = -8 -1j = -8 Divide each side by '-1'. j = 8 Simplifying j = 8
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