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Simplifying -3(8 + -11j) = -5(12 + -6j) (8 * -3 + -11j * -3) = -5(12 + -6j) (-24 + 33j) = -5(12 + -6j) -24 + 33j = (12 * -5 + -6j * -5) -24 + 33j = (-60 + 30j) Solving -24 + 33j = -60 + 30j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-30j' to each side of the equation. -24 + 33j + -30j = -60 + 30j + -30j Combine like terms: 33j + -30j = 3j -24 + 3j = -60 + 30j + -30j Combine like terms: 30j + -30j = 0 -24 + 3j = -60 + 0 -24 + 3j = -60 Add '24' to each side of the equation. -24 + 24 + 3j = -60 + 24 Combine like terms: -24 + 24 = 0 0 + 3j = -60 + 24 3j = -60 + 24 Combine like terms: -60 + 24 = -36 3j = -36 Divide each side by '3'. j = -12 Simplifying j = -12
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