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Simplifying -5(-15 + -15j) = -3(-20j + -5) (-15 * -5 + -15j * -5) = -3(-20j + -5) (75 + 75j) = -3(-20j + -5) Reorder the terms: 75 + 75j = -3(-5 + -20j) 75 + 75j = (-5 * -3 + -20j * -3) 75 + 75j = (15 + 60j) Solving 75 + 75j = 15 + 60j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-60j' to each side of the equation. 75 + 75j + -60j = 15 + 60j + -60j Combine like terms: 75j + -60j = 15j 75 + 15j = 15 + 60j + -60j Combine like terms: 60j + -60j = 0 75 + 15j = 15 + 0 75 + 15j = 15 Add '-75' to each side of the equation. 75 + -75 + 15j = 15 + -75 Combine like terms: 75 + -75 = 0 0 + 15j = 15 + -75 15j = 15 + -75 Combine like terms: 15 + -75 = -60 15j = -60 Divide each side by '15'. j = -4 Simplifying j = -4
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