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Simplifying -9 + 4j = -3 + 6 + 2j Combine like terms: -3 + 6 = 3 -9 + 4j = 3 + 2j Solving -9 + 4j = 3 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -9 + 4j + -2j = 3 + 2j + -2j Combine like terms: 4j + -2j = 2j -9 + 2j = 3 + 2j + -2j Combine like terms: 2j + -2j = 0 -9 + 2j = 3 + 0 -9 + 2j = 3 Add '9' to each side of the equation. -9 + 9 + 2j = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 2j = 3 + 9 2j = 3 + 9 Combine like terms: 3 + 9 = 12 2j = 12 Divide each side by '2'. j = 6 Simplifying j = 6
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