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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 = -5j 3 + -5j = -32 + -4j + 4j Combine like terms: -4j + 4j = 0 3 + -5j = -32 + 0 3 + -5j = -32 Add '-3' to each side of the equation. 3 + -3 + -5j = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -5j = -32 + -3 -5j = -32 + -3 Combine like terms: -32 + -3 = -35 -5j = -35 Divide each side by '-5'. j = 7 Simplifying j = 7
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