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Simplifying 4(4j + 5) = 2(-10 + 5j) Reorder the terms: 4(5 + 4j) = 2(-10 + 5j) (5 * 4 + 4j * 4) = 2(-10 + 5j) (20 + 16j) = 2(-10 + 5j) 20 + 16j = (-10 * 2 + 5j * 2) 20 + 16j = (-20 + 10j) Solving 20 + 16j = -20 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 20 + 16j + -10j = -20 + 10j + -10j Combine like terms: 16j + -10j = 6j 20 + 6j = -20 + 10j + -10j Combine like terms: 10j + -10j = 0 20 + 6j = -20 + 0 20 + 6j = -20 Add '-20' to each side of the equation. 20 + -20 + 6j = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 6j = -20 + -20 6j = -20 + -20 Combine like terms: -20 + -20 = -40 6j = -40 Divide each side by '6'. j = -6.666666667 Simplifying j = -6.666666667
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