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Simplifying (-2 + -2i)(-2)(-3) = 0 Reorder the terms for easier multiplication: -2 * -3(-2 + -2i) = 0 Multiply -2 * -3 6(-2 + -2i) = 0 (-2 * 6 + -2i * 6) = 0 (-12 + -12i) = 0 Solving -12 + -12i = 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 + -12i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -12i = 0 + 12 -12i = 0 + 12 Combine like terms: 0 + 12 = 12 -12i = 12 Divide each side by '-12'. i = -1 Simplifying i = -1
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