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Simplifying -2(5j + -13) = 3(8 + -2j) Reorder the terms: -2(-13 + 5j) = 3(8 + -2j) (-13 * -2 + 5j * -2) = 3(8 + -2j) (26 + -10j) = 3(8 + -2j) 26 + -10j = (8 * 3 + -2j * 3) 26 + -10j = (24 + -6j) Solving 26 + -10j = 24 + -6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6j' to each side of the equation. 26 + -10j + 6j = 24 + -6j + 6j Combine like terms: -10j + 6j = -4j 26 + -4j = 24 + -6j + 6j Combine like terms: -6j + 6j = 0 26 + -4j = 24 + 0 26 + -4j = 24 Add '-26' to each side of the equation. 26 + -26 + -4j = 24 + -26 Combine like terms: 26 + -26 = 0 0 + -4j = 24 + -26 -4j = 24 + -26 Combine like terms: 24 + -26 = -2 -4j = -2 Divide each side by '-4'. j = 0.5 Simplifying j = 0.5
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