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Simplifying 3 + -1j = 4 + j Solving 3 + -1j = 4 + 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. 3 + -1j + -1j = 4 + j + -1j Combine like terms: -1j + -1j = -2j 3 + -2j = 4 + j + -1j Combine like terms: j + -1j = 0 3 + -2j = 4 + 0 3 + -2j = 4 Add '-3' to each side of the equation. 3 + -3 + -2j = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -2j = 4 + -3 -2j = 4 + -3 Combine like terms: 4 + -3 = 1 -2j = 1 Divide each side by '-2'. j = -0.5 Simplifying j = -0.5
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