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Simplifying 8j + -20 + -20 = 20 + -12j Reorder the terms: -20 + -20 + 8j = 20 + -12j Combine like terms: -20 + -20 = -40 -40 + 8j = 20 + -12j Solving -40 + 8j = 20 + -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. -40 + 8j + 12j = 20 + -12j + 12j Combine like terms: 8j + 12j = 20j -40 + 20j = 20 + -12j + 12j Combine like terms: -12j + 12j = 0 -40 + 20j = 20 + 0 -40 + 20j = 20 Add '40' to each side of the equation. -40 + 40 + 20j = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 20j = 20 + 40 20j = 20 + 40 Combine like terms: 20 + 40 = 60 20j = 60 Divide each side by '20'. j = 3 Simplifying j = 3
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