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Simplifying 40 + 14j = 2(-4i + -13) Reorder the terms: 40 + 14j = 2(-13 + -4i) 40 + 14j = (-13 * 2 + -4i * 2) 40 + 14j = (-26 + -8i) Solving 40 + 14j = -26 + -8i Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 14j = -26 + -40 + -8i Combine like terms: 40 + -40 = 0 0 + 14j = -26 + -40 + -8i 14j = -26 + -40 + -8i Combine like terms: -26 + -40 = -66 14j = -66 + -8i Divide each side by '14'. j = -4.714285714 + -0.5714285714i Simplifying j = -4.714285714 + -0.5714285714i
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