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Simplifying -19.28 + -15.5j = 17.06 + 19.46 + -11j Combine like terms: 17.06 + 19.46 = 36.52 -19.28 + -15.5j = 36.52 + -11j Solving -19.28 + -15.5j = 36.52 + -11j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '11j' to each side of the equation. -19.28 + -15.5j + 11j = 36.52 + -11j + 11j Combine like terms: -15.5j + 11j = -4.5j -19.28 + -4.5j = 36.52 + -11j + 11j Combine like terms: -11j + 11j = 0 -19.28 + -4.5j = 36.52 + 0 -19.28 + -4.5j = 36.52 Add '19.28' to each side of the equation. -19.28 + 19.28 + -4.5j = 36.52 + 19.28 Combine like terms: -19.28 + 19.28 = 0.00 0.00 + -4.5j = 36.52 + 19.28 -4.5j = 36.52 + 19.28 Combine like terms: 36.52 + 19.28 = 55.8 -4.5j = 55.8 Divide each side by '-4.5'. j = -12.4 Simplifying j = -12.4
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