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Simplifying 3 + -1j(t) = 4 + -1t + 2t2 Multiply j * t 3 + -1jt = 4 + -1t + 2t2 Solving 3 + -1jt = 4 + -1t + 2t2 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1jt = 4 + -1t + -3 + 2t2 Combine like terms: 3 + -3 = 0 0 + -1jt = 4 + -1t + -3 + 2t2 -1jt = 4 + -1t + -3 + 2t2 Reorder the terms: -1jt = 4 + -3 + -1t + 2t2 Combine like terms: 4 + -3 = 1 -1jt = 1 + -1t + 2t2 Divide each side by '-1t'. j = -1t-1 + 1 + -2t Simplifying j = -1t-1 + 1 + -2t Reorder the terms: j = 1 + -1t-1 + -2t
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