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Simplifying 5i + 9 = i + -23 Reorder the terms: 9 + 5i = i + -23 Reorder the terms: 9 + 5i = -23 + i Solving 9 + 5i = -23 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 9 + 5i + -1i = -23 + i + -1i Combine like terms: 5i + -1i = 4i 9 + 4i = -23 + i + -1i Combine like terms: i + -1i = 0 9 + 4i = -23 + 0 9 + 4i = -23 Add '-9' to each side of the equation. 9 + -9 + 4i = -23 + -9 Combine like terms: 9 + -9 = 0 0 + 4i = -23 + -9 4i = -23 + -9 Combine like terms: -23 + -9 = -32 4i = -32 Divide each side by '4'. i = -8 Simplifying i = -8
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