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Simplifying B = (3 + 5i)(6 + 7i) Multiply (3 + 5i) * (6 + 7i) B = (3(6 + 7i) + 5i * (6 + 7i)) B = ((6 * 3 + 7i * 3) + 5i * (6 + 7i)) B = ((18 + 21i) + 5i * (6 + 7i)) B = (18 + 21i + (6 * 5i + 7i * 5i)) B = (18 + 21i + (30i + 35i2)) Combine like terms: 21i + 30i = 51i B = (18 + 51i + 35i2) Solving B = 18 + 51i + 35i2 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Simplifying B = 18 + 51i + 35i2
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