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Simplifying 1 + 10j = 4j + 5j + 9 Reorder the terms: 1 + 10j = 9 + 4j + 5j Combine like terms: 4j + 5j = 9j 1 + 10j = 9 + 9j Solving 1 + 10j = 9 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 1 + 10j + -9j = 9 + 9j + -9j Combine like terms: 10j + -9j = 1j 1 + 1j = 9 + 9j + -9j Combine like terms: 9j + -9j = 0 1 + 1j = 9 + 0 1 + 1j = 9 Add '-1' to each side of the equation. 1 + -1 + 1j = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1j = 9 + -1 1j = 9 + -1 Combine like terms: 9 + -1 = 8 1j = 8 Divide each side by '1'. j = 8 Simplifying j = 8
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