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Simplifying (5 + 3j) + -1(-2 + 2j) = 0 Remove parenthesis around (5 + 3j) 5 + 3j + -1(-2 + 2j) = 0 5 + 3j + (-2 * -1 + 2j * -1) = 0 5 + 3j + (2 + -2j) = 0 Reorder the terms: 5 + 2 + 3j + -2j = 0 Combine like terms: 5 + 2 = 7 7 + 3j + -2j = 0 Combine like terms: 3j + -2j = 1j 7 + 1j = 0 Solving 7 + 1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1j = 0 + -7 1j = 0 + -7 Combine like terms: 0 + -7 = -7 1j = -7 Divide each side by '1'. j = -7 Simplifying j = -7
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