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Simplifying 7 + 5(2 + 4j) = 0 7 + (2 * 5 + 4j * 5) = 0 7 + (10 + 20j) = 0 Combine like terms: 7 + 10 = 17 17 + 20j = 0 Solving 17 + 20j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 20j = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 20j = 0 + -17 20j = 0 + -17 Combine like terms: 0 + -17 = -17 20j = -17 Divide each side by '20'. j = -0.85 Simplifying j = -0.85
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