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Simplifying 4 + 8j = 3j + 9 Reorder the terms: 4 + 8j = 9 + 3j Solving 4 + 8j = 9 + 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. 4 + 8j + -3j = 9 + 3j + -3j Combine like terms: 8j + -3j = 5j 4 + 5j = 9 + 3j + -3j Combine like terms: 3j + -3j = 0 4 + 5j = 9 + 0 4 + 5j = 9 Add '-4' to each side of the equation. 4 + -4 + 5j = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 5j = 9 + -4 5j = 9 + -4 Combine like terms: 9 + -4 = 5 5j = 5 Divide each side by '5'. j = 1 Simplifying j = 1
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