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Simplifying (2j + 3)(4) = 1 Reorder the terms: (3 + 2j)(4) = 1 Reorder the terms for easier multiplication: 4(3 + 2j) = 1 (3 * 4 + 2j * 4) = 1 (12 + 8j) = 1 Solving 12 + 8j = 1 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 + 8j = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 8j = 1 + -12 8j = 1 + -12 Combine like terms: 1 + -12 = -11 8j = -11 Divide each side by '8'. j = -1.375 Simplifying j = -1.375
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