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Simplifying -2 + 6i = 5 + 9i Solving -2 + 6i = 5 + 9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9i' to each side of the equation. -2 + 6i + -9i = 5 + 9i + -9i Combine like terms: 6i + -9i = -3i -2 + -3i = 5 + 9i + -9i Combine like terms: 9i + -9i = 0 -2 + -3i = 5 + 0 -2 + -3i = 5 Add '2' to each side of the equation. -2 + 2 + -3i = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -3i = 5 + 2 -3i = 5 + 2 Combine like terms: 5 + 2 = 7 -3i = 7 Divide each side by '-3'. i = -2.333333333 Simplifying i = -2.333333333
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