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Simplifying 4(3j + 9 + 6j) = 0 Reorder the terms: 4(9 + 3j + 6j) = 0 Combine like terms: 3j + 6j = 9j 4(9 + 9j) = 0 (9 * 4 + 9j * 4) = 0 (36 + 36j) = 0 Solving 36 + 36j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 36j = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 36j = 0 + -36 36j = 0 + -36 Combine like terms: 0 + -36 = -36 36j = -36 Divide each side by '36'. j = -1 Simplifying j = -1
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