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Simplifying (7i + 7)(-3 + 8) = 0 Reorder the terms: (7 + 7i)(-3 + 8) = 0 Combine like terms: -3 + 8 = 5 (7 + 7i)(5) = 0 Reorder the terms for easier multiplication: 5(7 + 7i) = 0 (7 * 5 + 7i * 5) = 0 (35 + 35i) = 0 Solving 35 + 35i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 35i = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 35i = 0 + -35 35i = 0 + -35 Combine like terms: 0 + -35 = -35 35i = -35 Divide each side by '35'. i = -1 Simplifying i = -1
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