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Simplifying (4 + 5j) + (-2 + -4j) + -1(1 + 3j) = 0 Remove parenthesis around (4 + 5j) 4 + 5j + (-2 + -4j) + -1(1 + 3j) = 0 Remove parenthesis around (-2 + -4j) 4 + 5j + -2 + -4j + -1(1 + 3j) = 0 4 + 5j + -2 + -4j + (1 * -1 + 3j * -1) = 0 4 + 5j + -2 + -4j + (-1 + -3j) = 0 Reorder the terms: 4 + -2 + -1 + 5j + -4j + -3j = 0 Combine like terms: 4 + -2 = 2 2 + -1 + 5j + -4j + -3j = 0 Combine like terms: 2 + -1 = 1 1 + 5j + -4j + -3j = 0 Combine like terms: 5j + -4j = 1j 1 + 1j + -3j = 0 Combine like terms: 1j + -3j = -2j 1 + -2j = 0 Solving 1 + -2j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2j = 0 + -1 -2j = 0 + -1 Combine like terms: 0 + -1 = -1 -2j = -1 Divide each side by '-2'. j = 0.5 Simplifying j = 0.5
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