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Simplifying 9 + -2j = 8j + -1 Reorder the terms: 9 + -2j = -1 + 8j Solving 9 + -2j = -1 + 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. 9 + -2j + -8j = -1 + 8j + -8j Combine like terms: -2j + -8j = -10j 9 + -10j = -1 + 8j + -8j Combine like terms: 8j + -8j = 0 9 + -10j = -1 + 0 9 + -10j = -1 Add '-9' to each side of the equation. 9 + -9 + -10j = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -10j = -1 + -9 -10j = -1 + -9 Combine like terms: -1 + -9 = -10 -10j = -10 Divide each side by '-10'. j = 1 Simplifying j = 1
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