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Simplifying (4 + -2j) + -1(2 + -3j) = 0 Remove parenthesis around (4 + -2j) 4 + -2j + -1(2 + -3j) = 0 4 + -2j + (2 * -1 + -3j * -1) = 0 4 + -2j + (-2 + 3j) = 0 Reorder the terms: 4 + -2 + -2j + 3j = 0 Combine like terms: 4 + -2 = 2 2 + -2j + 3j = 0 Combine like terms: -2j + 3j = 1j 2 + 1j = 0 Solving 2 + 1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1j = 0 + -2 1j = 0 + -2 Combine like terms: 0 + -2 = -2 1j = -2 Divide each side by '1'. j = -2 Simplifying j = -2
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