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Simplifying 12i + -8 = 9 + -5i Reorder the terms: -8 + 12i = 9 + -5i Solving -8 + 12i = 9 + -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. -8 + 12i + 5i = 9 + -5i + 5i Combine like terms: 12i + 5i = 17i -8 + 17i = 9 + -5i + 5i Combine like terms: -5i + 5i = 0 -8 + 17i = 9 + 0 -8 + 17i = 9 Add '8' to each side of the equation. -8 + 8 + 17i = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 17i = 9 + 8 17i = 9 + 8 Combine like terms: 9 + 8 = 17 17i = 17 Divide each side by '17'. i = 1 Simplifying i = 1
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