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Simplifying 8i + -2m + -6i + 7m = 0 Reorder the terms: 8i + -6i + -2m + 7m = 0 Combine like terms: 8i + -6i = 2i 2i + -2m + 7m = 0 Combine like terms: -2m + 7m = 5m 2i + 5m = 0 Solving 2i + 5m = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5m' to each side of the equation. 2i + 5m + -5m = 0 + -5m Combine like terms: 5m + -5m = 0 2i + 0 = 0 + -5m 2i = 0 + -5m Remove the zero: 2i = -5m Divide each side by '2'. i = -2.5m Simplifying i = -2.5m
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