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Simplifying 40 + 14j = (4j + -13) Reorder the terms: 40 + 14j = (-13 + 4j) Remove parenthesis around (-13 + 4j) 40 + 14j = -13 + 4j Solving 40 + 14j = -13 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 40 + 14j + -4j = -13 + 4j + -4j Combine like terms: 14j + -4j = 10j 40 + 10j = -13 + 4j + -4j Combine like terms: 4j + -4j = 0 40 + 10j = -13 + 0 40 + 10j = -13 Add '-40' to each side of the equation. 40 + -40 + 10j = -13 + -40 Combine like terms: 40 + -40 = 0 0 + 10j = -13 + -40 10j = -13 + -40 Combine like terms: -13 + -40 = -53 10j = -53 Divide each side by '10'. j = -5.3 Simplifying j = -5.3
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