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Simplifying -4(6 + -2j) = 2(-6j + 8) (6 * -4 + -2j * -4) = 2(-6j + 8) (-24 + 8j) = 2(-6j + 8) Reorder the terms: -24 + 8j = 2(8 + -6j) -24 + 8j = (8 * 2 + -6j * 2) -24 + 8j = (16 + -12j) Solving -24 + 8j = 16 + -12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12j' to each side of the equation. -24 + 8j + 12j = 16 + -12j + 12j Combine like terms: 8j + 12j = 20j -24 + 20j = 16 + -12j + 12j Combine like terms: -12j + 12j = 0 -24 + 20j = 16 + 0 -24 + 20j = 16 Add '24' to each side of the equation. -24 + 24 + 20j = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 20j = 16 + 24 20j = 16 + 24 Combine like terms: 16 + 24 = 40 20j = 40 Divide each side by '20'. j = 2 Simplifying j = 2
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