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Simplifying (5 + -1j) + -1(9 + 3j) = 0 Remove parenthesis around (5 + -1j) 5 + -1j + -1(9 + 3j) = 0 5 + -1j + (9 * -1 + 3j * -1) = 0 5 + -1j + (-9 + -3j) = 0 Reorder the terms: 5 + -9 + -1j + -3j = 0 Combine like terms: 5 + -9 = -4 -4 + -1j + -3j = 0 Combine like terms: -1j + -3j = -4j -4 + -4j = 0 Solving -4 + -4j = 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 + -4j = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4j = 0 + 4 -4j = 0 + 4 Combine like terms: 0 + 4 = 4 -4j = 4 Divide each side by '-4'. j = -1 Simplifying j = -1
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