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Simplifying 3(2j + 4) + -5j = 0 Reorder the terms: 3(4 + 2j) + -5j = 0 (4 * 3 + 2j * 3) + -5j = 0 (12 + 6j) + -5j = 0 Combine like terms: 6j + -5j = 1j 12 + 1j = 0 Solving 12 + 1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1j = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1j = 0 + -12 1j = 0 + -12 Combine like terms: 0 + -12 = -12 1j = -12 Divide each side by '1'. j = -12 Simplifying j = -12
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