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Simplifying -19.08 + -3.2j + -19.38 = 1.3j + 18.69 Reorder the terms: -19.08 + -19.38 + -3.2j = 1.3j + 18.69 Combine like terms: -19.08 + -19.38 = -38.46 -38.46 + -3.2j = 1.3j + 18.69 Reorder the terms: -38.46 + -3.2j = 18.69 + 1.3j Solving -38.46 + -3.2j = 18.69 + 1.3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1.3j' to each side of the equation. -38.46 + -3.2j + -1.3j = 18.69 + 1.3j + -1.3j Combine like terms: -3.2j + -1.3j = -4.5j -38.46 + -4.5j = 18.69 + 1.3j + -1.3j Combine like terms: 1.3j + -1.3j = 0.0 -38.46 + -4.5j = 18.69 + 0.0 -38.46 + -4.5j = 18.69 Add '38.46' to each side of the equation. -38.46 + 38.46 + -4.5j = 18.69 + 38.46 Combine like terms: -38.46 + 38.46 = 0.00 0.00 + -4.5j = 18.69 + 38.46 -4.5j = 18.69 + 38.46 Combine like terms: 18.69 + 38.46 = 57.15 -4.5j = 57.15 Divide each side by '-4.5'. j = -12.7 Simplifying j = -12.7
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