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Simplifying (13 + -4j) = (30 + -40j) Remove parenthesis around (13 + -4j) 13 + -4j = (30 + -40j) Remove parenthesis around (30 + -40j) 13 + -4j = 30 + -40j Solving 13 + -4j = 30 + -40j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '40j' to each side of the equation. 13 + -4j + 40j = 30 + -40j + 40j Combine like terms: -4j + 40j = 36j 13 + 36j = 30 + -40j + 40j Combine like terms: -40j + 40j = 0 13 + 36j = 30 + 0 13 + 36j = 30 Add '-13' to each side of the equation. 13 + -13 + 36j = 30 + -13 Combine like terms: 13 + -13 = 0 0 + 36j = 30 + -13 36j = 30 + -13 Combine like terms: 30 + -13 = 17 36j = 17 Divide each side by '36'. j = 0.4722222222 Simplifying j = 0.4722222222
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