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Simplifying 56 + 12j = 80 + 8j Solving 56 + 12j = 80 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 56 + 12j + -8j = 80 + 8j + -8j Combine like terms: 12j + -8j = 4j 56 + 4j = 80 + 8j + -8j Combine like terms: 8j + -8j = 0 56 + 4j = 80 + 0 56 + 4j = 80 Add '-56' to each side of the equation. 56 + -56 + 4j = 80 + -56 Combine like terms: 56 + -56 = 0 0 + 4j = 80 + -56 4j = 80 + -56 Combine like terms: 80 + -56 = 24 4j = 24 Divide each side by '4'. j = 6 Simplifying j = 6
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