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Simplifying -3(8 + -11j) = -5(12 + -1j) (8 * -3 + -11j * -3) = -5(12 + -1j) (-24 + 33j) = -5(12 + -1j) -24 + 33j = (12 * -5 + -1j * -5) -24 + 33j = (-60 + 5j) Solving -24 + 33j = -60 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. -24 + 33j + -5j = -60 + 5j + -5j Combine like terms: 33j + -5j = 28j -24 + 28j = -60 + 5j + -5j Combine like terms: 5j + -5j = 0 -24 + 28j = -60 + 0 -24 + 28j = -60 Add '24' to each side of the equation. -24 + 24 + 28j = -60 + 24 Combine like terms: -24 + 24 = 0 0 + 28j = -60 + 24 28j = -60 + 24 Combine like terms: -60 + 24 = -36 28j = -36 Divide each side by '28'. j = -1.285714286 Simplifying j = -1.285714286
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