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Simplifying 8(4 + -7i) = 0 (4 * 8 + -7i * 8) = 0 (32 + -56i) = 0 Solving 32 + -56i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -56i = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -56i = 0 + -32 -56i = 0 + -32 Combine like terms: 0 + -32 = -32 -56i = -32 Divide each side by '-56'. i = 0.5714285714 Simplifying i = 0.5714285714
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