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Simplifying v = (3 + 2i)(4 + -1i) Multiply (3 + 2i) * (4 + -1i) v = (3(4 + -1i) + 2i * (4 + -1i)) v = ((4 * 3 + -1i * 3) + 2i * (4 + -1i)) v = ((12 + -3i) + 2i * (4 + -1i)) v = (12 + -3i + (4 * 2i + -1i * 2i)) v = (12 + -3i + (8i + -2i2)) Combine like terms: -3i + 8i = 5i v = (12 + 5i + -2i2) Solving v = 12 + 5i + -2i2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Simplifying v = 12 + 5i + -2i2
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