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Simplifying -4.3j + -6.97 = -19.15 + 5.9j + -10.9j Reorder the terms: -6.97 + -4.3j = -19.15 + 5.9j + -10.9j Combine like terms: 5.9j + -10.9j = -5j -6.97 + -4.3j = -19.15 + -5j Solving -6.97 + -4.3j = -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. -6.97 + -4.3j + 5j = -19.15 + -5j + 5j Combine like terms: -4.3j + 5j = 0.7j -6.97 + 0.7j = -19.15 + -5j + 5j Combine like terms: -5j + 5j = 0 -6.97 + 0.7j = -19.15 + 0 -6.97 + 0.7j = -19.15 Add '6.97' to each side of the equation. -6.97 + 6.97 + 0.7j = -19.15 + 6.97 Combine like terms: -6.97 + 6.97 = 0.00 0.00 + 0.7j = -19.15 + 6.97 0.7j = -19.15 + 6.97 Combine like terms: -19.15 + 6.97 = -12.18 0.7j = -12.18 Divide each side by '0.7'. j = -17.4 Simplifying j = -17.4
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