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Simplifying 20 + 4j = -18 + -6j + 8 Reorder the terms: 20 + 4j = -18 + 8 + -6j Combine like terms: -18 + 8 = -10 20 + 4j = -10 + -6j Solving 20 + 4j = -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 + 4j + 6j = -10 + -6j + 6j Combine like terms: 4j + 6j = 10j 20 + 10j = -10 + -6j + 6j Combine like terms: -6j + 6j = 0 20 + 10j = -10 + 0 20 + 10j = -10 Add '-20' to each side of the equation. 20 + -20 + 10j = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 10j = -10 + -20 10j = -10 + -20 Combine like terms: -10 + -20 = -30 10j = -30 Divide each side by '10'. j = -3 Simplifying j = -3
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