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Simplifying (3 + -1j) + -1(6 + 3j) = 0 Remove parenthesis around (3 + -1j) 3 + -1j + -1(6 + 3j) = 0 3 + -1j + (6 * -1 + 3j * -1) = 0 3 + -1j + (-6 + -3j) = 0 Reorder the terms: 3 + -6 + -1j + -3j = 0 Combine like terms: 3 + -6 = -3 -3 + -1j + -3j = 0 Combine like terms: -1j + -3j = -4j -3 + -4j = 0 Solving -3 + -4j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4j = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4j = 0 + 3 -4j = 0 + 3 Combine like terms: 0 + 3 = 3 -4j = 3 Divide each side by '-4'. j = -0.75 Simplifying j = -0.75
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