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Simplifying 5(4 + -3j) = -2(3j + -5) (4 * 5 + -3j * 5) = -2(3j + -5) (20 + -15j) = -2(3j + -5) Reorder the terms: 20 + -15j = -2(-5 + 3j) 20 + -15j = (-5 * -2 + 3j * -2) 20 + -15j = (10 + -6j) Solving 20 + -15j = 10 + -6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6j' to each side of the equation. 20 + -15j + 6j = 10 + -6j + 6j Combine like terms: -15j + 6j = -9j 20 + -9j = 10 + -6j + 6j Combine like terms: -6j + 6j = 0 20 + -9j = 10 + 0 20 + -9j = 10 Add '-20' to each side of the equation. 20 + -20 + -9j = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -9j = 10 + -20 -9j = 10 + -20 Combine like terms: 10 + -20 = -10 -9j = -10 Divide each side by '-9'. j = 1.111111111 Simplifying j = 1.111111111
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