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Simplifying -9(1.3j + 6.73) = 11.34 + -4.8j + -11.19 Reorder the terms: -9(6.73 + 1.3j) = 11.34 + -4.8j + -11.19 (6.73 * -9 + 1.3j * -9) = 11.34 + -4.8j + -11.19 (-60.57 + -11.7j) = 11.34 + -4.8j + -11.19 Reorder the terms: -60.57 + -11.7j = 11.34 + -11.19 + -4.8j Combine like terms: 11.34 + -11.19 = 0.15 -60.57 + -11.7j = 0.15 + -4.8j Solving -60.57 + -11.7j = 0.15 + -4.8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4.8j' to each side of the equation. -60.57 + -11.7j + 4.8j = 0.15 + -4.8j + 4.8j Combine like terms: -11.7j + 4.8j = -6.9j -60.57 + -6.9j = 0.15 + -4.8j + 4.8j Combine like terms: -4.8j + 4.8j = 0.0 -60.57 + -6.9j = 0.15 + 0.0 -60.57 + -6.9j = 0.15 Add '60.57' to each side of the equation. -60.57 + 60.57 + -6.9j = 0.15 + 60.57 Combine like terms: -60.57 + 60.57 = 0.00 0.00 + -6.9j = 0.15 + 60.57 -6.9j = 0.15 + 60.57 Combine like terms: 0.15 + 60.57 = 60.72 -6.9j = 60.72 Divide each side by '-6.9'. j = -8.8 Simplifying j = -8.8
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