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Simplifying 6j + -8 + 11j = 8 + 15j Reorder the terms: -8 + 6j + 11j = 8 + 15j Combine like terms: 6j + 11j = 17j -8 + 17j = 8 + 15j Solving -8 + 17j = 8 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. -8 + 17j + -15j = 8 + 15j + -15j Combine like terms: 17j + -15j = 2j -8 + 2j = 8 + 15j + -15j Combine like terms: 15j + -15j = 0 -8 + 2j = 8 + 0 -8 + 2j = 8 Add '8' to each side of the equation. -8 + 8 + 2j = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2j = 8 + 8 2j = 8 + 8 Combine like terms: 8 + 8 = 16 2j = 16 Divide each side by '2'. j = 8 Simplifying j = 8
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