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Simplifying 12j + 4 = -4 + -12j Reorder the terms: 4 + 12j = -4 + -12j Solving 4 + 12j = -4 + -12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12j' to each side of the equation. 4 + 12j + 12j = -4 + -12j + 12j Combine like terms: 12j + 12j = 24j 4 + 24j = -4 + -12j + 12j Combine like terms: -12j + 12j = 0 4 + 24j = -4 + 0 4 + 24j = -4 Add '-4' to each side of the equation. 4 + -4 + 24j = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 24j = -4 + -4 24j = -4 + -4 Combine like terms: -4 + -4 = -8 24j = -8 Divide each side by '24'. j = -0.3333333333 Simplifying j = -0.3333333333
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