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Simplifying 13.1j + -17.43 = 13.4j + -14.22 Reorder the terms: -17.43 + 13.1j = 13.4j + -14.22 Reorder the terms: -17.43 + 13.1j = -14.22 + 13.4j Solving -17.43 + 13.1j = -14.22 + 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. -17.43 + 13.1j + -13.4j = -14.22 + 13.4j + -13.4j Combine like terms: 13.1j + -13.4j = -0.3j -17.43 + -0.3j = -14.22 + 13.4j + -13.4j Combine like terms: 13.4j + -13.4j = 0.0 -17.43 + -0.3j = -14.22 + 0.0 -17.43 + -0.3j = -14.22 Add '17.43' to each side of the equation. -17.43 + 17.43 + -0.3j = -14.22 + 17.43 Combine like terms: -17.43 + 17.43 = 0.00 0.00 + -0.3j = -14.22 + 17.43 -0.3j = -14.22 + 17.43 Combine like terms: -14.22 + 17.43 = 3.21 -0.3j = 3.21 Divide each side by '-0.3'. j = -10.7 Simplifying j = -10.7
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