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Simplifying 1250 + -100i = 200 + 100i Solving 1250 + -100i = 200 + 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. 1250 + -100i + -100i = 200 + 100i + -100i Combine like terms: -100i + -100i = -200i 1250 + -200i = 200 + 100i + -100i Combine like terms: 100i + -100i = 0 1250 + -200i = 200 + 0 1250 + -200i = 200 Add '-1250' to each side of the equation. 1250 + -1250 + -200i = 200 + -1250 Combine like terms: 1250 + -1250 = 0 0 + -200i = 200 + -1250 -200i = 200 + -1250 Combine like terms: 200 + -1250 = -1050 -200i = -1050 Divide each side by '-200'. i = 5.25 Simplifying i = 5.25
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