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Simplifying -6(-3j + -1(-4)) = 12 Multiply -1 * -4 -6(-3j + 4) = 12 Reorder the terms: -6(4 + -3j) = 12 (4 * -6 + -3j * -6) = 12 (-24 + 18j) = 12 Solving -24 + 18j = 12 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 18j = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 18j = 12 + 24 18j = 12 + 24 Combine like terms: 12 + 24 = 36 18j = 36 Divide each side by '18'. j = 2 Simplifying j = 2
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