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Simplifying (10 + -6j) + -1(7 + -4j) = 0 Remove parenthesis around (10 + -6j) 10 + -6j + -1(7 + -4j) = 0 10 + -6j + (7 * -1 + -4j * -1) = 0 10 + -6j + (-7 + 4j) = 0 Reorder the terms: 10 + -7 + -6j + 4j = 0 Combine like terms: 10 + -7 = 3 3 + -6j + 4j = 0 Combine like terms: -6j + 4j = -2j 3 + -2j = 0 Solving 3 + -2j = 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 + -2j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2j = 0 + -3 -2j = 0 + -3 Combine like terms: 0 + -3 = -3 -2j = -3 Divide each side by '-2'. j = 1.5 Simplifying j = 1.5
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