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Simplifying 14 + 20j + 18j = -16 + 8j Combine like terms: 20j + 18j = 38j 14 + 38j = -16 + 8j Solving 14 + 38j = -16 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 14 + 38j + -8j = -16 + 8j + -8j Combine like terms: 38j + -8j = 30j 14 + 30j = -16 + 8j + -8j Combine like terms: 8j + -8j = 0 14 + 30j = -16 + 0 14 + 30j = -16 Add '-14' to each side of the equation. 14 + -14 + 30j = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 30j = -16 + -14 30j = -16 + -14 Combine like terms: -16 + -14 = -30 30j = -30 Divide each side by '30'. j = -1 Simplifying j = -1
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