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Simplifying (6i) * 2 + 32 = 0 Remove parenthesis around (6i) 6i * 2 + 32 = 0 Reorder the terms for easier multiplication: 6 * 2i + 32 = 0 Multiply 6 * 2 12i + 32 = 0 Reorder the terms: 32 + 12i = 0 Solving 32 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 12i = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 12i = 0 + -32 12i = 0 + -32 Combine like terms: 0 + -32 = -32 12i = -32 Divide each side by '12'. i = -2.666666667 Simplifying i = -2.666666667
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