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Simplifying (-7 + 4j) + -1(-5 + -6j) + -4j = 0 Remove parenthesis around (-7 + 4j) -7 + 4j + -1(-5 + -6j) + -4j = 0 -7 + 4j + (-5 * -1 + -6j * -1) + -4j = 0 -7 + 4j + (5 + 6j) + -4j = 0 Reorder the terms: -7 + 5 + 4j + 6j + -4j = 0 Combine like terms: -7 + 5 = -2 -2 + 4j + 6j + -4j = 0 Combine like terms: 4j + 6j = 10j -2 + 10j + -4j = 0 Combine like terms: 10j + -4j = 6j -2 + 6j = 0 Solving -2 + 6j = 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 + 6j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6j = 0 + 2 6j = 0 + 2 Combine like terms: 0 + 2 = 2 6j = 2 Divide each side by '6'. j = 0.3333333333 Simplifying j = 0.3333333333
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