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Simplifying (8 + -2j) + (-3 + j) = 0 Remove parenthesis around (8 + -2j) 8 + -2j + (-3 + j) = 0 Remove parenthesis around (-3 + j) 8 + -2j + -3 + j = 0 Reorder the terms: 8 + -3 + -2j + j = 0 Combine like terms: 8 + -3 = 5 5 + -2j + j = 0 Combine like terms: -2j + j = -1j 5 + -1j = 0 Solving 5 + -1j = 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 + -1j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1j = 0 + -5 -1j = 0 + -5 Combine like terms: 0 + -5 = -5 -1j = -5 Divide each side by '-1'. j = 5 Simplifying j = 5
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