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Simplifying 10 + 3j + -12 + 9j = 0 Reorder the terms: 10 + -12 + 3j + 9j = 0 Combine like terms: 10 + -12 = -2 -2 + 3j + 9j = 0 Combine like terms: 3j + 9j = 12j -2 + 12j = 0 Solving -2 + 12j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12j = 0 + 2 12j = 0 + 2 Combine like terms: 0 + 2 = 2 12j = 2 Divide each side by '12'. j = 0.1666666667 Simplifying j = 0.1666666667
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