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Simplifying -5.69 + 6j = 12.4j + 10.31 Reorder the terms: -5.69 + 6j = 10.31 + 12.4j Solving -5.69 + 6j = 10.31 + 12.4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12.4j' to each side of the equation. -5.69 + 6j + -12.4j = 10.31 + 12.4j + -12.4j Combine like terms: 6j + -12.4j = -6.4j -5.69 + -6.4j = 10.31 + 12.4j + -12.4j Combine like terms: 12.4j + -12.4j = 0.0 -5.69 + -6.4j = 10.31 + 0.0 -5.69 + -6.4j = 10.31 Add '5.69' to each side of the equation. -5.69 + 5.69 + -6.4j = 10.31 + 5.69 Combine like terms: -5.69 + 5.69 = 0.00 0.00 + -6.4j = 10.31 + 5.69 -6.4j = 10.31 + 5.69 Combine like terms: 10.31 + 5.69 = 16 -6.4j = 16 Divide each side by '-6.4'. j = -2.5 Simplifying j = -2.5
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