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Simplifying 12 + -1j = 6 + j Solving 12 + -1j = 6 + 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. 12 + -1j + -1j = 6 + j + -1j Combine like terms: -1j + -1j = -2j 12 + -2j = 6 + j + -1j Combine like terms: j + -1j = 0 12 + -2j = 6 + 0 12 + -2j = 6 Add '-12' to each side of the equation. 12 + -12 + -2j = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2j = 6 + -12 -2j = 6 + -12 Combine like terms: 6 + -12 = -6 -2j = -6 Divide each side by '-2'. j = 3 Simplifying j = 3
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