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Simplifying 8(3 + -1j) + 4j = 0 (3 * 8 + -1j * 8) + 4j = 0 (24 + -8j) + 4j = 0 Combine like terms: -8j + 4j = -4j 24 + -4j = 0 Solving 24 + -4j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -4j = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4j = 0 + -24 -4j = 0 + -24 Combine like terms: 0 + -24 = -24 -4j = -24 Divide each side by '-4'. j = 6 Simplifying j = 6
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