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Simplifying 12(j + 1j + 3) = 57 Reorder the terms: 12(3 + j + 1j) = 57 Combine like terms: j + 1j = 2j 12(3 + 2j) = 57 (3 * 12 + 2j * 12) = 57 (36 + 24j) = 57 Solving 36 + 24j = 57 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 24j = 57 + -36 Combine like terms: 36 + -36 = 0 0 + 24j = 57 + -36 24j = 57 + -36 Combine like terms: 57 + -36 = 21 24j = 21 Divide each side by '24'. j = 0.875 Simplifying j = 0.875
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