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Simplifying 5 + 6j = 8j + -9 Reorder the terms: 5 + 6j = -9 + 8j Solving 5 + 6j = -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. 5 + 6j + -8j = -9 + 8j + -8j Combine like terms: 6j + -8j = -2j 5 + -2j = -9 + 8j + -8j Combine like terms: 8j + -8j = 0 5 + -2j = -9 + 0 5 + -2j = -9 Add '-5' to each side of the equation. 5 + -5 + -2j = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2j = -9 + -5 -2j = -9 + -5 Combine like terms: -9 + -5 = -14 -2j = -14 Divide each side by '-2'. j = 7 Simplifying j = 7
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