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Simplifying 7i + -4 + 2 = 11 + 4i + -2 Reorder the terms: -4 + 2 + 7i = 11 + 4i + -2 Combine like terms: -4 + 2 = -2 -2 + 7i = 11 + 4i + -2 Reorder the terms: -2 + 7i = 11 + -2 + 4i Combine like terms: 11 + -2 = 9 -2 + 7i = 9 + 4i Solving -2 + 7i = 9 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. -2 + 7i + -4i = 9 + 4i + -4i Combine like terms: 7i + -4i = 3i -2 + 3i = 9 + 4i + -4i Combine like terms: 4i + -4i = 0 -2 + 3i = 9 + 0 -2 + 3i = 9 Add '2' to each side of the equation. -2 + 2 + 3i = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 3i = 9 + 2 3i = 9 + 2 Combine like terms: 9 + 2 = 11 3i = 11 Divide each side by '3'. i = 3.666666667 Simplifying i = 3.666666667
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