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Simplifying 4(10 + -5j) = 5(4 + 8) (10 * 4 + -5j * 4) = 5(4 + 8) (40 + -20j) = 5(4 + 8) Combine like terms: 4 + 8 = 12 40 + -20j = 5(12) Multiply 5 * 12 40 + -20j = 60 Solving 40 + -20j = 60 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -20j = 60 + -40 Combine like terms: 40 + -40 = 0 0 + -20j = 60 + -40 -20j = 60 + -40 Combine like terms: 60 + -40 = 20 -20j = 20 Divide each side by '-20'. j = -1 Simplifying j = -1
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