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Simplifying -5.78 + -7j = -5.7j + 11.25 Reorder the terms: -5.78 + -7j = 11.25 + -5.7j Solving -5.78 + -7j = 11.25 + -5.7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5.7j' to each side of the equation. -5.78 + -7j + 5.7j = 11.25 + -5.7j + 5.7j Combine like terms: -7j + 5.7j = -1.3j -5.78 + -1.3j = 11.25 + -5.7j + 5.7j Combine like terms: -5.7j + 5.7j = 0.0 -5.78 + -1.3j = 11.25 + 0.0 -5.78 + -1.3j = 11.25 Add '5.78' to each side of the equation. -5.78 + 5.78 + -1.3j = 11.25 + 5.78 Combine like terms: -5.78 + 5.78 = 0.00 0.00 + -1.3j = 11.25 + 5.78 -1.3j = 11.25 + 5.78 Combine like terms: 11.25 + 5.78 = 17.03 -1.3j = 17.03 Divide each side by '-1.3'. j = -13.1 Simplifying j = -13.1
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