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Simplifying -4(5j + -15) = 5(-13j + -15) Reorder the terms: -4(-15 + 5j) = 5(-13j + -15) (-15 * -4 + 5j * -4) = 5(-13j + -15) (60 + -20j) = 5(-13j + -15) Reorder the terms: 60 + -20j = 5(-15 + -13j) 60 + -20j = (-15 * 5 + -13j * 5) 60 + -20j = (-75 + -65j) Solving 60 + -20j = -75 + -65j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '65j' to each side of the equation. 60 + -20j + 65j = -75 + -65j + 65j Combine like terms: -20j + 65j = 45j 60 + 45j = -75 + -65j + 65j Combine like terms: -65j + 65j = 0 60 + 45j = -75 + 0 60 + 45j = -75 Add '-60' to each side of the equation. 60 + -60 + 45j = -75 + -60 Combine like terms: 60 + -60 = 0 0 + 45j = -75 + -60 45j = -75 + -60 Combine like terms: -75 + -60 = -135 45j = -135 Divide each side by '45'. j = -3 Simplifying j = -3
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