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Simplifying 9j + 1 = 5j + 9 Reorder the terms: 1 + 9j = 5j + 9 Reorder the terms: 1 + 9j = 9 + 5j Solving 1 + 9j = 9 + 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. 1 + 9j + -5j = 9 + 5j + -5j Combine like terms: 9j + -5j = 4j 1 + 4j = 9 + 5j + -5j Combine like terms: 5j + -5j = 0 1 + 4j = 9 + 0 1 + 4j = 9 Add '-1' to each side of the equation. 1 + -1 + 4j = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4j = 9 + -1 4j = 9 + -1 Combine like terms: 9 + -1 = 8 4j = 8 Divide each side by '4'. j = 2 Simplifying j = 2
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