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Simplifying (1 + 2j) = -1(1 + 3j) Remove parenthesis around (1 + 2j) 1 + 2j = -1(1 + 3j) 1 + 2j = (1 * -1 + 3j * -1) 1 + 2j = (-1 + -3j) Solving 1 + 2j = -1 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 1 + 2j + 3j = -1 + -3j + 3j Combine like terms: 2j + 3j = 5j 1 + 5j = -1 + -3j + 3j Combine like terms: -3j + 3j = 0 1 + 5j = -1 + 0 1 + 5j = -1 Add '-1' to each side of the equation. 1 + -1 + 5j = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 5j = -1 + -1 5j = -1 + -1 Combine like terms: -1 + -1 = -2 5j = -2 Divide each side by '5'. j = -0.4 Simplifying j = -0.4
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