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Simplifying 9 + 2i + -2 = 5i Reorder the terms: 9 + -2 + 2i = 5i Combine like terms: 9 + -2 = 7 7 + 2i = 5i Solving 7 + 2i = 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 7 + 2i + -5i = 5i + -5i Combine like terms: 2i + -5i = -3i 7 + -3i = 5i + -5i Combine like terms: 5i + -5i = 0 7 + -3i = 0 Add '-7' to each side of the equation. 7 + -7 + -3i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3i = 0 + -7 -3i = 0 + -7 Combine like terms: 0 + -7 = -7 -3i = -7 Divide each side by '-3'. i = 2.333333333 Simplifying i = 2.333333333
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