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Simplifying 3 + 12j = 4j + 27 Reorder the terms: 3 + 12j = 27 + 4j Solving 3 + 12j = 27 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 3 + 12j + -4j = 27 + 4j + -4j Combine like terms: 12j + -4j = 8j 3 + 8j = 27 + 4j + -4j Combine like terms: 4j + -4j = 0 3 + 8j = 27 + 0 3 + 8j = 27 Add '-3' to each side of the equation. 3 + -3 + 8j = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 8j = 27 + -3 8j = 27 + -3 Combine like terms: 27 + -3 = 24 8j = 24 Divide each side by '8'. j = 3 Simplifying j = 3
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