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Simplifying 9 + 6j = -4 + 10j + -3 Reorder the terms: 9 + 6j = -4 + -3 + 10j Combine like terms: -4 + -3 = -7 9 + 6j = -7 + 10j Solving 9 + 6j = -7 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 9 + 6j + -10j = -7 + 10j + -10j Combine like terms: 6j + -10j = -4j 9 + -4j = -7 + 10j + -10j Combine like terms: 10j + -10j = 0 9 + -4j = -7 + 0 9 + -4j = -7 Add '-9' to each side of the equation. 9 + -9 + -4j = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4j = -7 + -9 -4j = -7 + -9 Combine like terms: -7 + -9 = -16 -4j = -16 Divide each side by '-4'. j = 4 Simplifying j = 4
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