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Simplifying 3(4 + -1j) = 5j (4 * 3 + -1j * 3) = 5j (12 + -3j) = 5j Solving 12 + -3j = 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. 12 + -3j + -5j = 5j + -5j Combine like terms: -3j + -5j = -8j 12 + -8j = 5j + -5j Combine like terms: 5j + -5j = 0 12 + -8j = 0 Add '-12' to each side of the equation. 12 + -12 + -8j = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8j = 0 + -12 -8j = 0 + -12 Combine like terms: 0 + -12 = -12 -8j = -12 Divide each side by '-8'. j = 1.5 Simplifying j = 1.5
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