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Simplifying -8(2i + -7) = 0 Reorder the terms: -8(-7 + 2i) = 0 (-7 * -8 + 2i * -8) = 0 (56 + -16i) = 0 Solving 56 + -16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -16i = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -16i = 0 + -56 -16i = 0 + -56 Combine like terms: 0 + -56 = -56 -16i = -56 Divide each side by '-16'. i = 3.5 Simplifying i = 3.5
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