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Simplifying (80 + -1j + 20 + v) = 90 Reorder the terms: (80 + 20 + -1j + v) = 90 Combine like terms: 80 + 20 = 100 (100 + -1j + v) = 90 Remove parenthesis around (100 + -1j + v) 100 + -1j + v = 90 Solving 100 + -1j + v = 90 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -1j + -100 + v = 90 + -100 Reorder the terms: 100 + -100 + -1j + v = 90 + -100 Combine like terms: 100 + -100 = 0 0 + -1j + v = 90 + -100 -1j + v = 90 + -100 Combine like terms: 90 + -100 = -10 -1j + v = -10 Add '-1v' to each side of the equation. -1j + v + -1v = -10 + -1v Combine like terms: v + -1v = 0 -1j + 0 = -10 + -1v -1j = -10 + -1v Divide each side by '-1'. j = 10 + v Simplifying j = 10 + v
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