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Simplifying 14j + 8 = -6 + 2j Reorder the terms: 8 + 14j = -6 + 2j Solving 8 + 14j = -6 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 8 + 14j + -2j = -6 + 2j + -2j Combine like terms: 14j + -2j = 12j 8 + 12j = -6 + 2j + -2j Combine like terms: 2j + -2j = 0 8 + 12j = -6 + 0 8 + 12j = -6 Add '-8' to each side of the equation. 8 + -8 + 12j = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 12j = -6 + -8 12j = -6 + -8 Combine like terms: -6 + -8 = -14 12j = -14 Divide each side by '12'. j = -1.166666667 Simplifying j = -1.166666667
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