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Simplifying (7j + -6) + -1(19 + -3j) = 0 Reorder the terms: (-6 + 7j) + -1(19 + -3j) = 0 Remove parenthesis around (-6 + 7j) -6 + 7j + -1(19 + -3j) = 0 -6 + 7j + (19 * -1 + -3j * -1) = 0 -6 + 7j + (-19 + 3j) = 0 Reorder the terms: -6 + -19 + 7j + 3j = 0 Combine like terms: -6 + -19 = -25 -25 + 7j + 3j = 0 Combine like terms: 7j + 3j = 10j -25 + 10j = 0 Solving -25 + 10j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 10j = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 10j = 0 + 25 10j = 0 + 25 Combine like terms: 0 + 25 = 25 10j = 25 Divide each side by '10'. j = 2.5 Simplifying j = 2.5
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