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Simplifying 40 + 14j = 2(-7j + -20) Reorder the terms: 40 + 14j = 2(-20 + -7j) 40 + 14j = (-20 * 2 + -7j * 2) 40 + 14j = (-40 + -14j) Solving 40 + 14j = -40 + -14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '14j' to each side of the equation. 40 + 14j + 14j = -40 + -14j + 14j Combine like terms: 14j + 14j = 28j 40 + 28j = -40 + -14j + 14j Combine like terms: -14j + 14j = 0 40 + 28j = -40 + 0 40 + 28j = -40 Add '-40' to each side of the equation. 40 + -40 + 28j = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 28j = -40 + -40 28j = -40 + -40 Combine like terms: -40 + -40 = -80 28j = -80 Divide each side by '28'. j = -2.857142857 Simplifying j = -2.857142857
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