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Simplifying 0.5(-1j + 8) = 0 Reorder the terms: 0.5(8 + -1j) = 0 (8 * 0.5 + -1j * 0.5) = 0 (4 + -0.5j) = 0 Solving 4 + -0.5j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -0.5j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5j = 0 + -4 -0.5j = 0 + -4 Combine like terms: 0 + -4 = -4 -0.5j = -4 Divide each side by '-0.5'. j = 8 Simplifying j = 8
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