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Simplifying 8j + -31 = 13 + -3j Reorder the terms: -31 + 8j = 13 + -3j Solving -31 + 8j = 13 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. -31 + 8j + 3j = 13 + -3j + 3j Combine like terms: 8j + 3j = 11j -31 + 11j = 13 + -3j + 3j Combine like terms: -3j + 3j = 0 -31 + 11j = 13 + 0 -31 + 11j = 13 Add '31' to each side of the equation. -31 + 31 + 11j = 13 + 31 Combine like terms: -31 + 31 = 0 0 + 11j = 13 + 31 11j = 13 + 31 Combine like terms: 13 + 31 = 44 11j = 44 Divide each side by '11'. j = 4 Simplifying j = 4
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