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Simplifying 4(4 + -1j) = -2j (4 * 4 + -1j * 4) = -2j (16 + -4j) = -2j Solving 16 + -4j = -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 16 + -4j + 2j = -2j + 2j Combine like terms: -4j + 2j = -2j 16 + -2j = -2j + 2j Combine like terms: -2j + 2j = 0 16 + -2j = 0 Add '-16' to each side of the equation. 16 + -16 + -2j = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2j = 0 + -16 -2j = 0 + -16 Combine like terms: 0 + -16 = -16 -2j = -16 Divide each side by '-2'. j = 8 Simplifying j = 8
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