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Simplifying 4.3j + -19.67 = 19.64 + 17.73 + 10.5j Reorder the terms: -19.67 + 4.3j = 19.64 + 17.73 + 10.5j Combine like terms: 19.64 + 17.73 = 37.37 -19.67 + 4.3j = 37.37 + 10.5j Solving -19.67 + 4.3j = 37.37 + 10.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10.5j' to each side of the equation. -19.67 + 4.3j + -10.5j = 37.37 + 10.5j + -10.5j Combine like terms: 4.3j + -10.5j = -6.2j -19.67 + -6.2j = 37.37 + 10.5j + -10.5j Combine like terms: 10.5j + -10.5j = 0.0 -19.67 + -6.2j = 37.37 + 0.0 -19.67 + -6.2j = 37.37 Add '19.67' to each side of the equation. -19.67 + 19.67 + -6.2j = 37.37 + 19.67 Combine like terms: -19.67 + 19.67 = 0.00 0.00 + -6.2j = 37.37 + 19.67 -6.2j = 37.37 + 19.67 Combine like terms: 37.37 + 19.67 = 57.04 -6.2j = 57.04 Divide each side by '-6.2'. j = -9.2 Simplifying j = -9.2
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