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Simplifying (5 + 2j) + (7 + j) = 0 Remove parenthesis around (5 + 2j) 5 + 2j + (7 + j) = 0 Remove parenthesis around (7 + j) 5 + 2j + 7 + j = 0 Reorder the terms: 5 + 7 + 2j + j = 0 Combine like terms: 5 + 7 = 12 12 + 2j + j = 0 Combine like terms: 2j + j = 3j 12 + 3j = 0 Solving 12 + 3j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3j = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3j = 0 + -12 3j = 0 + -12 Combine like terms: 0 + -12 = -12 3j = -12 Divide each side by '3'. j = -4 Simplifying j = -4
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