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Simplifying (8 + -9j) + (7 + 5j) = 0 Remove parenthesis around (8 + -9j) 8 + -9j + (7 + 5j) = 0 Remove parenthesis around (7 + 5j) 8 + -9j + 7 + 5j = 0 Reorder the terms: 8 + 7 + -9j + 5j = 0 Combine like terms: 8 + 7 = 15 15 + -9j + 5j = 0 Combine like terms: -9j + 5j = -4j 15 + -4j = 0 Solving 15 + -4j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4j = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4j = 0 + -15 -4j = 0 + -15 Combine like terms: 0 + -15 = -15 -4j = -15 Divide each side by '-4'. j = 3.75 Simplifying j = 3.75
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