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Simplifying 4(3i + -2) = 2(i + 2) Reorder the terms: 4(-2 + 3i) = 2(i + 2) (-2 * 4 + 3i * 4) = 2(i + 2) (-8 + 12i) = 2(i + 2) Reorder the terms: -8 + 12i = 2(2 + i) -8 + 12i = (2 * 2 + i * 2) -8 + 12i = (4 + 2i) Solving -8 + 12i = 4 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. -8 + 12i + -2i = 4 + 2i + -2i Combine like terms: 12i + -2i = 10i -8 + 10i = 4 + 2i + -2i Combine like terms: 2i + -2i = 0 -8 + 10i = 4 + 0 -8 + 10i = 4 Add '8' to each side of the equation. -8 + 8 + 10i = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 10i = 4 + 8 10i = 4 + 8 Combine like terms: 4 + 8 = 12 10i = 12 Divide each side by '10'. i = 1.2 Simplifying i = 1.2
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