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Simplifying 3.9i + 12 = 1.5i Reorder the terms: 12 + 3.9i = 1.5i Solving 12 + 3.9i = 1.5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1.5i' to each side of the equation. 12 + 3.9i + -1.5i = 1.5i + -1.5i Combine like terms: 3.9i + -1.5i = 2.4i 12 + 2.4i = 1.5i + -1.5i Combine like terms: 1.5i + -1.5i = 0.0 12 + 2.4i = 0.0 Add '-12' to each side of the equation. 12 + -12 + 2.4i = 0.0 + -12 Combine like terms: 12 + -12 = 0 0 + 2.4i = 0.0 + -12 2.4i = 0.0 + -12 Combine like terms: 0.0 + -12 = -12 2.4i = -12 Divide each side by '2.4'. i = -5 Simplifying i = -5
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