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Simplifying -5i + 9 = -3i + 11 Reorder the terms: 9 + -5i = -3i + 11 Reorder the terms: 9 + -5i = 11 + -3i Solving 9 + -5i = 11 + -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 + -5i + 3i = 11 + -3i + 3i Combine like terms: -5i + 3i = -2i 9 + -2i = 11 + -3i + 3i Combine like terms: -3i + 3i = 0 9 + -2i = 11 + 0 9 + -2i = 11 Add '-9' to each side of the equation. 9 + -9 + -2i = 11 + -9 Combine like terms: 9 + -9 = 0 0 + -2i = 11 + -9 -2i = 11 + -9 Combine like terms: 11 + -9 = 2 -2i = 2 Divide each side by '-2'. i = -1 Simplifying i = -1
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