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Simplifying 40 + 12.50i = 7.50 Solving 40 + 12.50i = 7.50 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 12.50i = 7.50 + -40 Combine like terms: 40 + -40 = 0 0 + 12.50i = 7.50 + -40 12.50i = 7.50 + -40 Combine like terms: 7.50 + -40 = -32.5 12.50i = -32.5 Divide each side by '12.50'. i = -2.6 Simplifying i = -2.6
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