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Simplifying 1000 = 1000 + -100i Add '-1000' to each side of the equation. 1000 + -1000 = 1000 + -1000 + -100i Combine like terms: 1000 + -1000 = 0 0 = 1000 + -1000 + -100i Combine like terms: 1000 + -1000 = 0 0 = 0 + -100i 0 = -100i Solving 0 = -100i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '100i' to each side of the equation. 0 + 100i = -100i + 100i Remove the zero: 100i = -100i + 100i Combine like terms: -100i + 100i = 0 100i = 0 Divide each side by '100'. i = 0 Simplifying i = 0
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