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Simplifying -5(-8 + -2j) + -9j = 0 (-8 * -5 + -2j * -5) + -9j = 0 (40 + 10j) + -9j = 0 Combine like terms: 10j + -9j = 1j 40 + 1j = 0 Solving 40 + 1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1j = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1j = 0 + -40 1j = 0 + -40 Combine like terms: 0 + -40 = -40 1j = -40 Divide each side by '1'. j = -40 Simplifying j = -40
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