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Simplifying (2 + -7j) + (9 + 4j) = 0 Remove parenthesis around (2 + -7j) 2 + -7j + (9 + 4j) = 0 Remove parenthesis around (9 + 4j) 2 + -7j + 9 + 4j = 0 Reorder the terms: 2 + 9 + -7j + 4j = 0 Combine like terms: 2 + 9 = 11 11 + -7j + 4j = 0 Combine like terms: -7j + 4j = -3j 11 + -3j = 0 Solving 11 + -3j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3j = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3j = 0 + -11 -3j = 0 + -11 Combine like terms: 0 + -11 = -11 -3j = -11 Divide each side by '-3'. j = 3.666666667 Simplifying j = 3.666666667
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