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Simplifying -9.43 + -0.7j + -12.1j = -13.4j + -9.85 Combine like terms: -0.7j + -12.1j = -12.8j -9.43 + -12.8j = -13.4j + -9.85 Reorder the terms: -9.43 + -12.8j = -9.85 + -13.4j Solving -9.43 + -12.8j = -9.85 + -13.4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '13.4j' to each side of the equation. -9.43 + -12.8j + 13.4j = -9.85 + -13.4j + 13.4j Combine like terms: -12.8j + 13.4j = 0.6j -9.43 + 0.6j = -9.85 + -13.4j + 13.4j Combine like terms: -13.4j + 13.4j = 0.0 -9.43 + 0.6j = -9.85 + 0.0 -9.43 + 0.6j = -9.85 Add '9.43' to each side of the equation. -9.43 + 9.43 + 0.6j = -9.85 + 9.43 Combine like terms: -9.43 + 9.43 = 0.00 0.00 + 0.6j = -9.85 + 9.43 0.6j = -9.85 + 9.43 Combine like terms: -9.85 + 9.43 = -0.42 0.6j = -0.42 Divide each side by '0.6'. j = -0.7 Simplifying j = -0.7
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