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Simplifying (1 + 2j) + (1 + 3j) = 0 Remove parenthesis around (1 + 2j) 1 + 2j + (1 + 3j) = 0 Remove parenthesis around (1 + 3j) 1 + 2j + 1 + 3j = 0 Reorder the terms: 1 + 1 + 2j + 3j = 0 Combine like terms: 1 + 1 = 2 2 + 2j + 3j = 0 Combine like terms: 2j + 3j = 5j 2 + 5j = 0 Solving 2 + 5j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5j = 0 + -2 5j = 0 + -2 Combine like terms: 0 + -2 = -2 5j = -2 Divide each side by '5'. j = -0.4 Simplifying j = -0.4
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