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Simplifying -5(-20j + -17) = -11 + 4j Reorder the terms: -5(-17 + -20j) = -11 + 4j (-17 * -5 + -20j * -5) = -11 + 4j (85 + 100j) = -11 + 4j Solving 85 + 100j = -11 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 85 + 100j + -4j = -11 + 4j + -4j Combine like terms: 100j + -4j = 96j 85 + 96j = -11 + 4j + -4j Combine like terms: 4j + -4j = 0 85 + 96j = -11 + 0 85 + 96j = -11 Add '-85' to each side of the equation. 85 + -85 + 96j = -11 + -85 Combine like terms: 85 + -85 = 0 0 + 96j = -11 + -85 96j = -11 + -85 Combine like terms: -11 + -85 = -96 96j = -96 Divide each side by '96'. j = -1 Simplifying j = -1
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