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Simplifying 5(9j + 10) + 7j = 0 Reorder the terms: 5(10 + 9j) + 7j = 0 (10 * 5 + 9j * 5) + 7j = 0 (50 + 45j) + 7j = 0 Combine like terms: 45j + 7j = 52j 50 + 52j = 0 Solving 50 + 52j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 52j = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 52j = 0 + -50 52j = 0 + -50 Combine like terms: 0 + -50 = -50 52j = -50 Divide each side by '52'. j = -0.9615384615 Simplifying j = -0.9615384615
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