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Simplifying 4i = -7i + 51 Reorder the terms: 4i = 51 + -7i Solving 4i = 51 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. 4i + 7i = 51 + -7i + 7i Combine like terms: 4i + 7i = 11i 11i = 51 + -7i + 7i Combine like terms: -7i + 7i = 0 11i = 51 + 0 11i = 51 Divide each side by '11'. i = 4.636363636 Simplifying i = 4.636363636
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