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Simplifying -2 + 4j = 3j + -9 Reorder the terms: -2 + 4j = -9 + 3j Solving -2 + 4j = -9 + 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. -2 + 4j + -3j = -9 + 3j + -3j Combine like terms: 4j + -3j = 1j -2 + 1j = -9 + 3j + -3j Combine like terms: 3j + -3j = 0 -2 + 1j = -9 + 0 -2 + 1j = -9 Add '2' to each side of the equation. -2 + 2 + 1j = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 1j = -9 + 2 1j = -9 + 2 Combine like terms: -9 + 2 = -7 1j = -7 Divide each side by '1'. j = -7 Simplifying j = -7
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