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Simplifying 5 + 5i = 9 + 2i Solving 5 + 5i = 9 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 5 + 5i + -2i = 9 + 2i + -2i Combine like terms: 5i + -2i = 3i 5 + 3i = 9 + 2i + -2i Combine like terms: 2i + -2i = 0 5 + 3i = 9 + 0 5 + 3i = 9 Add '-5' to each side of the equation. 5 + -5 + 3i = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 3i = 9 + -5 3i = 9 + -5 Combine like terms: 9 + -5 = 4 3i = 4 Divide each side by '3'. i = 1.333333333 Simplifying i = 1.333333333
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