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Simplifying 2(8 + j) + 1j = 39 (8 * 2 + j * 2) + 1j = 39 (16 + 2j) + 1j = 39 Combine like terms: 2j + 1j = 3j 16 + 3j = 39 Solving 16 + 3j = 39 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3j = 39 + -16 Combine like terms: 16 + -16 = 0 0 + 3j = 39 + -16 3j = 39 + -16 Combine like terms: 39 + -16 = 23 3j = 23 Divide each side by '3'. j = 7.666666667 Simplifying j = 7.666666667
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