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Simplifying 10j + 4(10 + 7j) = 0 10j + (10 * 4 + 7j * 4) = 0 10j + (40 + 28j) = 0 Reorder the terms: 40 + 10j + 28j = 0 Combine like terms: 10j + 28j = 38j 40 + 38j = 0 Solving 40 + 38j = 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 + 38j = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 38j = 0 + -40 38j = 0 + -40 Combine like terms: 0 + -40 = -40 38j = -40 Divide each side by '38'. j = -1.052631579 Simplifying j = -1.052631579
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