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Simplifying 7 + 10j = 2j + 9 + 6j Reorder the terms: 7 + 10j = 9 + 2j + 6j Combine like terms: 2j + 6j = 8j 7 + 10j = 9 + 8j Solving 7 + 10j = 9 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 7 + 10j + -8j = 9 + 8j + -8j Combine like terms: 10j + -8j = 2j 7 + 2j = 9 + 8j + -8j Combine like terms: 8j + -8j = 0 7 + 2j = 9 + 0 7 + 2j = 9 Add '-7' to each side of the equation. 7 + -7 + 2j = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 2j = 9 + -7 2j = 9 + -7 Combine like terms: 9 + -7 = 2 2j = 2 Divide each side by '2'. j = 1 Simplifying j = 1
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