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Simplifying 3.5j + -17j + -17.26 = -9.5j + 19.54 Reorder the terms: -17.26 + 3.5j + -17j = -9.5j + 19.54 Combine like terms: 3.5j + -17j = -13.5j -17.26 + -13.5j = -9.5j + 19.54 Reorder the terms: -17.26 + -13.5j = 19.54 + -9.5j Solving -17.26 + -13.5j = 19.54 + -9.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '9.5j' to each side of the equation. -17.26 + -13.5j + 9.5j = 19.54 + -9.5j + 9.5j Combine like terms: -13.5j + 9.5j = -4j -17.26 + -4j = 19.54 + -9.5j + 9.5j Combine like terms: -9.5j + 9.5j = 0.0 -17.26 + -4j = 19.54 + 0.0 -17.26 + -4j = 19.54 Add '17.26' to each side of the equation. -17.26 + 17.26 + -4j = 19.54 + 17.26 Combine like terms: -17.26 + 17.26 = 0.00 0.00 + -4j = 19.54 + 17.26 -4j = 19.54 + 17.26 Combine like terms: 19.54 + 17.26 = 36.8 -4j = 36.8 Divide each side by '-4'. j = -9.2 Simplifying j = -9.2
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