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Simplifying (-4 + -2i) * 5 = 0 Reorder the terms for easier multiplication: 5(-4 + -2i) = 0 (-4 * 5 + -2i * 5) = 0 (-20 + -10i) = 0 Solving -20 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -10i = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -10i = 0 + 20 -10i = 0 + 20 Combine like terms: 0 + 20 = 20 -10i = 20 Divide each side by '-10'. i = -2 Simplifying i = -2
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