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Simplifying 9i + -3 = 5i + 41 Reorder the terms: -3 + 9i = 5i + 41 Reorder the terms: -3 + 9i = 41 + 5i Solving -3 + 9i = 41 + 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. -3 + 9i + -5i = 41 + 5i + -5i Combine like terms: 9i + -5i = 4i -3 + 4i = 41 + 5i + -5i Combine like terms: 5i + -5i = 0 -3 + 4i = 41 + 0 -3 + 4i = 41 Add '3' to each side of the equation. -3 + 3 + 4i = 41 + 3 Combine like terms: -3 + 3 = 0 0 + 4i = 41 + 3 4i = 41 + 3 Combine like terms: 41 + 3 = 44 4i = 44 Divide each side by '4'. i = 11 Simplifying i = 11
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