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Simplifying 12 + -6j = 14 + -3j Solving 12 + -6j = 14 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 12 + -6j + 3j = 14 + -3j + 3j Combine like terms: -6j + 3j = -3j 12 + -3j = 14 + -3j + 3j Combine like terms: -3j + 3j = 0 12 + -3j = 14 + 0 12 + -3j = 14 Add '-12' to each side of the equation. 12 + -12 + -3j = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -3j = 14 + -12 -3j = 14 + -12 Combine like terms: 14 + -12 = 2 -3j = 2 Divide each side by '-3'. j = -0.6666666667 Simplifying j = -0.6666666667
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