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Simplifying 40 + -14j = 2(-4j + -13) Reorder the terms: 40 + -14j = 2(-13 + -4j) 40 + -14j = (-13 * 2 + -4j * 2) 40 + -14j = (-26 + -8j) Solving 40 + -14j = -26 + -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. 40 + -14j + 8j = -26 + -8j + 8j Combine like terms: -14j + 8j = -6j 40 + -6j = -26 + -8j + 8j Combine like terms: -8j + 8j = 0 40 + -6j = -26 + 0 40 + -6j = -26 Add '-40' to each side of the equation. 40 + -40 + -6j = -26 + -40 Combine like terms: 40 + -40 = 0 0 + -6j = -26 + -40 -6j = -26 + -40 Combine like terms: -26 + -40 = -66 -6j = -66 Divide each side by '-6'. j = 11 Simplifying j = 11
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