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Simplifying (-3 + 2j) + -1(-4 + -9j) + -3j = 0 Remove parenthesis around (-3 + 2j) -3 + 2j + -1(-4 + -9j) + -3j = 0 -3 + 2j + (-4 * -1 + -9j * -1) + -3j = 0 -3 + 2j + (4 + 9j) + -3j = 0 Reorder the terms: -3 + 4 + 2j + 9j + -3j = 0 Combine like terms: -3 + 4 = 1 1 + 2j + 9j + -3j = 0 Combine like terms: 2j + 9j = 11j 1 + 11j + -3j = 0 Combine like terms: 11j + -3j = 8j 1 + 8j = 0 Solving 1 + 8j = 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 + 8j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8j = 0 + -1 8j = 0 + -1 Combine like terms: 0 + -1 = -1 8j = -1 Divide each side by '8'. j = -0.125 Simplifying j = -0.125
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