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Simplifying (-6 + -2i) * 2 = 0 Reorder the terms for easier multiplication: 2(-6 + -2i) = 0 (-6 * 2 + -2i * 2) = 0 (-12 + -4i) = 0 Solving -12 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4i = 0 + 12 -4i = 0 + 12 Combine like terms: 0 + 12 = 12 -4i = 12 Divide each side by '-4'. i = -3 Simplifying i = -3
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