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