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Simplifying 0.2(15j + -25) = 0.667(12 + -15) Reorder the terms: 0.2(-25 + 15j) = 0.667(12 + -15) (-25 * 0.2 + 15j * 0.2) = 0.667(12 + -15) (-5 + 3j) = 0.667(12 + -15) Combine like terms: 12 + -15 = -3 -5 + 3j = 0.667(-3) Multiply 0.667 * -3 -5 + 3j = -2.001 Solving -5 + 3j = -2.001 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3j = -2.001 + 5 Combine like terms: -5 + 5 = 0 0 + 3j = -2.001 + 5 3j = -2.001 + 5 Combine like terms: -2.001 + 5 = 2.999 3j = 2.999 Divide each side by '3'. j = 0.9996666667 Simplifying j = 0.9996666667
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