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Simplifying (3 + -2j) + -1(6 + -3j) = 0 Remove parenthesis around (3 + -2j) 3 + -2j + -1(6 + -3j) = 0 3 + -2j + (6 * -1 + -3j * -1) = 0 3 + -2j + (-6 + 3j) = 0 Reorder the terms: 3 + -6 + -2j + 3j = 0 Combine like terms: 3 + -6 = -3 -3 + -2j + 3j = 0 Combine like terms: -2j + 3j = 1j -3 + 1j = 0 Solving -3 + 1j = 0 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 + 1j = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1j = 0 + 3 1j = 0 + 3 Combine like terms: 0 + 3 = 3 1j = 3 Divide each side by '1'. j = 3 Simplifying j = 3
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