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Simplifying 40 + 14j = 2(-1j + -13) Reorder the terms: 40 + 14j = 2(-13 + -1j) 40 + 14j = (-13 * 2 + -1j * 2) 40 + 14j = (-26 + -2j) Solving 40 + 14j = -26 + -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. 40 + 14j + 2j = -26 + -2j + 2j Combine like terms: 14j + 2j = 16j 40 + 16j = -26 + -2j + 2j Combine like terms: -2j + 2j = 0 40 + 16j = -26 + 0 40 + 16j = -26 Add '-40' to each side of the equation. 40 + -40 + 16j = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 16j = -26 + -40 16j = -26 + -40 Combine like terms: -26 + -40 = -66 16j = -66 Divide each side by '16'. j = -4.125 Simplifying j = -4.125
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