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Simplifying 40 + 12.50i = 7.50i Solving 40 + 12.50i = 7.50i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7.50i' to each side of the equation. 40 + 12.50i + -7.50i = 7.50i + -7.50i Combine like terms: 12.50i + -7.50i = 5i 40 + 5i = 7.50i + -7.50i Combine like terms: 7.50i + -7.50i = 0.00 40 + 5i = 0.00 Add '-40' to each side of the equation. 40 + -40 + 5i = 0.00 + -40 Combine like terms: 40 + -40 = 0 0 + 5i = 0.00 + -40 5i = 0.00 + -40 Combine like terms: 0.00 + -40 = -40 5i = -40 Divide each side by '5'. i = -8 Simplifying i = -8
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