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Simplifying 43 = 7 + -12j + 6j Combine like terms: -12j + 6j = -6j 43 = 7 + -6j Solving 43 = 7 + -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. 43 + 6j = 7 + -6j + 6j Combine like terms: -6j + 6j = 0 43 + 6j = 7 + 0 43 + 6j = 7 Add '-43' to each side of the equation. 43 + -43 + 6j = 7 + -43 Combine like terms: 43 + -43 = 0 0 + 6j = 7 + -43 6j = 7 + -43 Combine like terms: 7 + -43 = -36 6j = -36 Divide each side by '6'. j = -6 Simplifying j = -6
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