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Simplifying 2 + 3i = 12 + -5i Solving 2 + 3i = 12 + -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. 2 + 3i + 5i = 12 + -5i + 5i Combine like terms: 3i + 5i = 8i 2 + 8i = 12 + -5i + 5i Combine like terms: -5i + 5i = 0 2 + 8i = 12 + 0 2 + 8i = 12 Add '-2' to each side of the equation. 2 + -2 + 8i = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 8i = 12 + -2 8i = 12 + -2 Combine like terms: 12 + -2 = 10 8i = 10 Divide each side by '8'. i = 1.25 Simplifying i = 1.25
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