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Simplifying 5.7 = j + -3.8 Reorder the terms: 5.7 = -3.8 + j Solving 5.7 = -3.8 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 5.7 + -1j = -3.8 + j + -1j Combine like terms: j + -1j = 0 5.7 + -1j = -3.8 + 0 5.7 + -1j = -3.8 Add '-5.7' to each side of the equation. 5.7 + -5.7 + -1j = -3.8 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + -1j = -3.8 + -5.7 -1j = -3.8 + -5.7 Combine like terms: -3.8 + -5.7 = -9.5 -1j = -9.5 Divide each side by '-1'. j = 9.5 Simplifying j = 9.5
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