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Simplifying 3(j + 2) + -1j = 0 Reorder the terms: 3(2 + j) + -1j = 0 (2 * 3 + j * 3) + -1j = 0 (6 + 3j) + -1j = 0 Combine like terms: 3j + -1j = 2j 6 + 2j = 0 Solving 6 + 2j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2j = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2j = 0 + -6 2j = 0 + -6 Combine like terms: 0 + -6 = -6 2j = -6 Divide each side by '2'. j = -3 Simplifying j = -3
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