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Simplifying -19j + 16.77 + -12.52 = -14.89 + 12.9j Reorder the terms: 16.77 + -12.52 + -19j = -14.89 + 12.9j Combine like terms: 16.77 + -12.52 = 4.25 4.25 + -19j = -14.89 + 12.9j Solving 4.25 + -19j = -14.89 + 12.9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12.9j' to each side of the equation. 4.25 + -19j + -12.9j = -14.89 + 12.9j + -12.9j Combine like terms: -19j + -12.9j = -31.9j 4.25 + -31.9j = -14.89 + 12.9j + -12.9j Combine like terms: 12.9j + -12.9j = 0.0 4.25 + -31.9j = -14.89 + 0.0 4.25 + -31.9j = -14.89 Add '-4.25' to each side of the equation. 4.25 + -4.25 + -31.9j = -14.89 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + -31.9j = -14.89 + -4.25 -31.9j = -14.89 + -4.25 Combine like terms: -14.89 + -4.25 = -19.14 -31.9j = -19.14 Divide each side by '-31.9'. j = 0.6 Simplifying j = 0.6
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