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Simplifying 9 + 2j = 3j + -8 + 8 Reorder the terms: 9 + 2j = -8 + 8 + 3j Combine like terms: -8 + 8 = 0 9 + 2j = 0 + 3j 9 + 2j = 3j Solving 9 + 2j = 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 9 + 2j + -3j = 3j + -3j Combine like terms: 2j + -3j = -1j 9 + -1j = 3j + -3j Combine like terms: 3j + -3j = 0 9 + -1j = 0 Add '-9' to each side of the equation. 9 + -9 + -1j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1j = 0 + -9 -1j = 0 + -9 Combine like terms: 0 + -9 = -9 -1j = -9 Divide each side by '-1'. j = 9 Simplifying j = 9
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