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Simplifying (2 + -1j) + (3 + j) + -1(4 + -1j) = 0 Remove parenthesis around (2 + -1j) 2 + -1j + (3 + j) + -1(4 + -1j) = 0 Remove parenthesis around (3 + j) 2 + -1j + 3 + j + -1(4 + -1j) = 0 2 + -1j + 3 + j + (4 * -1 + -1j * -1) = 0 2 + -1j + 3 + j + (-4 + 1j) = 0 Reorder the terms: 2 + 3 + -4 + -1j + j + 1j = 0 Combine like terms: 2 + 3 = 5 5 + -4 + -1j + j + 1j = 0 Combine like terms: 5 + -4 = 1 1 + -1j + j + 1j = 0 Combine like terms: -1j + j = 0 1 + 0 + 1j = 0 1 + 1j = 0 Solving 1 + 1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1j = 0 + -1 1j = 0 + -1 Combine like terms: 0 + -1 = -1 1j = -1 Divide each side by '1'. j = -1 Simplifying j = -1
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