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Simplifying (7 + -3j) + -1(9 + -6j) = 0 Remove parenthesis around (7 + -3j) 7 + -3j + -1(9 + -6j) = 0 7 + -3j + (9 * -1 + -6j * -1) = 0 7 + -3j + (-9 + 6j) = 0 Reorder the terms: 7 + -9 + -3j + 6j = 0 Combine like terms: 7 + -9 = -2 -2 + -3j + 6j = 0 Combine like terms: -3j + 6j = 3j -2 + 3j = 0 Solving -2 + 3j = 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 + 3j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3j = 0 + 2 3j = 0 + 2 Combine like terms: 0 + 2 = 2 3j = 2 Divide each side by '3'. j = 0.6666666667 Simplifying j = 0.6666666667
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