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Simplifying (-2 + 6j) + -1(3 + -2j) = 0 Remove parenthesis around (-2 + 6j) -2 + 6j + -1(3 + -2j) = 0 -2 + 6j + (3 * -1 + -2j * -1) = 0 -2 + 6j + (-3 + 2j) = 0 Reorder the terms: -2 + -3 + 6j + 2j = 0 Combine like terms: -2 + -3 = -5 -5 + 6j + 2j = 0 Combine like terms: 6j + 2j = 8j -5 + 8j = 0 Solving -5 + 8j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8j = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8j = 0 + 5 8j = 0 + 5 Combine like terms: 0 + 5 = 5 8j = 5 Divide each side by '8'. j = 0.625 Simplifying j = 0.625
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