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Simplifying 40 + 14j = 2(4j + -3) Reorder the terms: 40 + 14j = 2(-3 + 4j) 40 + 14j = (-3 * 2 + 4j * 2) 40 + 14j = (-6 + 8j) Solving 40 + 14j = -6 + 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 = -6 + 8j + -8j Combine like terms: 14j + -8j = 6j 40 + 6j = -6 + 8j + -8j Combine like terms: 8j + -8j = 0 40 + 6j = -6 + 0 40 + 6j = -6 Add '-40' to each side of the equation. 40 + -40 + 6j = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 6j = -6 + -40 6j = -6 + -40 Combine like terms: -6 + -40 = -46 6j = -46 Divide each side by '6'. j = -7.666666667 Simplifying j = -7.666666667
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