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Simplifying 5 + 7j + j = 9j + 1 Combine like terms: 7j + j = 8j 5 + 8j = 9j + 1 Reorder the terms: 5 + 8j = 1 + 9j Solving 5 + 8j = 1 + 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. 5 + 8j + -9j = 1 + 9j + -9j Combine like terms: 8j + -9j = -1j 5 + -1j = 1 + 9j + -9j Combine like terms: 9j + -9j = 0 5 + -1j = 1 + 0 5 + -1j = 1 Add '-5' to each side of the equation. 5 + -5 + -1j = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1j = 1 + -5 -1j = 1 + -5 Combine like terms: 1 + -5 = -4 -1j = -4 Divide each side by '-1'. j = 4 Simplifying j = 4
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