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Simplifying 10j + 36 = 9j + 41 Reorder the terms: 36 + 10j = 9j + 41 Reorder the terms: 36 + 10j = 41 + 9j Solving 36 + 10j = 41 + 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. 36 + 10j + -9j = 41 + 9j + -9j Combine like terms: 10j + -9j = 1j 36 + 1j = 41 + 9j + -9j Combine like terms: 9j + -9j = 0 36 + 1j = 41 + 0 36 + 1j = 41 Add '-36' to each side of the equation. 36 + -36 + 1j = 41 + -36 Combine like terms: 36 + -36 = 0 0 + 1j = 41 + -36 1j = 41 + -36 Combine like terms: 41 + -36 = 5 1j = 5 Divide each side by '1'. j = 5 Simplifying j = 5
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