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Simplifying z = (7 + 3i)(5 + 8i) Multiply (7 + 3i) * (5 + 8i) z = (7(5 + 8i) + 3i * (5 + 8i)) z = ((5 * 7 + 8i * 7) + 3i * (5 + 8i)) z = ((35 + 56i) + 3i * (5 + 8i)) z = (35 + 56i + (5 * 3i + 8i * 3i)) z = (35 + 56i + (15i + 24i2)) Combine like terms: 56i + 15i = 71i z = (35 + 71i + 24i2) Solving z = 35 + 71i + 24i2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Simplifying z = 35 + 71i + 24i2
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