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Simplifying -4.3 + -6.97 = -19.15 + 5.9j + -10.9j Combine like terms: -4.3 + -6.97 = -11.27 -11.27 = -19.15 + 5.9j + -10.9j Combine like terms: 5.9j + -10.9j = -5j -11.27 = -19.15 + -5j Solving -11.27 = -19.15 + -5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5j' to each side of the equation. -11.27 + 5j = -19.15 + -5j + 5j Combine like terms: -5j + 5j = 0 -11.27 + 5j = -19.15 + 0 -11.27 + 5j = -19.15 Add '11.27' to each side of the equation. -11.27 + 11.27 + 5j = -19.15 + 11.27 Combine like terms: -11.27 + 11.27 = 0.00 0.00 + 5j = -19.15 + 11.27 5j = -19.15 + 11.27 Combine like terms: -19.15 + 11.27 = -7.88 5j = -7.88 Divide each side by '5'. j = -1.576 Simplifying j = -1.576
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