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Simplifying 10(i + -2) = -2i + 64 Reorder the terms: 10(-2 + i) = -2i + 64 (-2 * 10 + i * 10) = -2i + 64 (-20 + 10i) = -2i + 64 Reorder the terms: -20 + 10i = 64 + -2i Solving -20 + 10i = 64 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. -20 + 10i + 2i = 64 + -2i + 2i Combine like terms: 10i + 2i = 12i -20 + 12i = 64 + -2i + 2i Combine like terms: -2i + 2i = 0 -20 + 12i = 64 + 0 -20 + 12i = 64 Add '20' to each side of the equation. -20 + 20 + 12i = 64 + 20 Combine like terms: -20 + 20 = 0 0 + 12i = 64 + 20 12i = 64 + 20 Combine like terms: 64 + 20 = 84 12i = 84 Divide each side by '12'. i = 7 Simplifying i = 7
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