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Simplifying -9.52 + -5.7j + 13.2j = -6.4 + 7.7j Combine like terms: -5.7j + 13.2j = 7.5j -9.52 + 7.5j = -6.4 + 7.7j Solving -9.52 + 7.5j = -6.4 + 7.7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7.7j' to each side of the equation. -9.52 + 7.5j + -7.7j = -6.4 + 7.7j + -7.7j Combine like terms: 7.5j + -7.7j = -0.2j -9.52 + -0.2j = -6.4 + 7.7j + -7.7j Combine like terms: 7.7j + -7.7j = 0.0 -9.52 + -0.2j = -6.4 + 0.0 -9.52 + -0.2j = -6.4 Add '9.52' to each side of the equation. -9.52 + 9.52 + -0.2j = -6.4 + 9.52 Combine like terms: -9.52 + 9.52 = 0.00 0.00 + -0.2j = -6.4 + 9.52 -0.2j = -6.4 + 9.52 Combine like terms: -6.4 + 9.52 = 3.12 -0.2j = 3.12 Divide each side by '-0.2'. j = -15.6 Simplifying j = -15.6
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