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