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Simplifying 9j + 3 = 32 + -4j Reorder the terms: 3 + 9j = 32 + -4j Solving 3 + 9j = 32 + -4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4j' to each side of the equation. 3 + 9j + 4j = 32 + -4j + 4j Combine like terms: 9j + 4j = 13j 3 + 13j = 32 + -4j + 4j Combine like terms: -4j + 4j = 0 3 + 13j = 32 + 0 3 + 13j = 32 Add '-3' to each side of the equation. 3 + -3 + 13j = 32 + -3 Combine like terms: 3 + -3 = 0 0 + 13j = 32 + -3 13j = 32 + -3 Combine like terms: 32 + -3 = 29 13j = 29 Divide each side by '13'. j = 2.230769231 Simplifying j = 2.230769231
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