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Simplifying -0.5(0.3i + -0.6) = -1.5 Reorder the terms: -0.5(-0.6 + 0.3i) = -1.5 (-0.6 * -0.5 + 0.3i * -0.5) = -1.5 (0.3 + -0.15i) = -1.5 Solving 0.3 + -0.15i = -1.5 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.15i = -1.5 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.15i = -1.5 + -0.3 -0.15i = -1.5 + -0.3 Combine like terms: -1.5 + -0.3 = -1.8 -0.15i = -1.8 Divide each side by '-0.15'. i = 12 Simplifying i = 12
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