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Simplifying 9 = (3 + -1j) + -3 Remove parenthesis around (3 + -1j) 9 = 3 + -1j + -3 Reorder the terms: 9 = 3 + -3 + -1j Combine like terms: 3 + -3 = 0 9 = 0 + -1j 9 = -1j Solving 9 = -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 9 + j = -1j + j Combine like terms: -1j + j = 0 9 + j = 0 Add '-9' to each side of the equation. 9 + -9 + j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + j = 0 + -9 j = 0 + -9 Combine like terms: 0 + -9 = -9 j = -9 Simplifying j = -9
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