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Simplifying 40 + 14j = 6j + -26 Reorder the terms: 40 + 14j = -26 + 6j Solving 40 + 14j = -26 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 40 + 14j + -6j = -26 + 6j + -6j Combine like terms: 14j + -6j = 8j 40 + 8j = -26 + 6j + -6j Combine like terms: 6j + -6j = 0 40 + 8j = -26 + 0 40 + 8j = -26 Add '-40' to each side of the equation. 40 + -40 + 8j = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 8j = -26 + -40 8j = -26 + -40 Combine like terms: -26 + -40 = -66 8j = -66 Divide each side by '8'. j = -8.25 Simplifying j = -8.25
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