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Simplifying -17 + 6j = j + 19 + 8j Reorder the terms: -17 + 6j = 19 + j + 8j Combine like terms: j + 8j = 9j -17 + 6j = 19 + 9j Solving -17 + 6j = 19 + 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. -17 + 6j + -9j = 19 + 9j + -9j Combine like terms: 6j + -9j = -3j -17 + -3j = 19 + 9j + -9j Combine like terms: 9j + -9j = 0 -17 + -3j = 19 + 0 -17 + -3j = 19 Add '17' to each side of the equation. -17 + 17 + -3j = 19 + 17 Combine like terms: -17 + 17 = 0 0 + -3j = 19 + 17 -3j = 19 + 17 Combine like terms: 19 + 17 = 36 -3j = 36 Divide each side by '-3'. j = -12 Simplifying j = -12
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