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Simplifying 12i + 9 + -1(6i + -5) = 0 Reorder the terms: 12i + 9 + -1(-5 + 6i) = 0 12i + 9 + (-5 * -1 + 6i * -1) = 0 12i + 9 + (5 + -6i) = 0 Reorder the terms: 9 + 5 + 12i + -6i = 0 Combine like terms: 9 + 5 = 14 14 + 12i + -6i = 0 Combine like terms: 12i + -6i = 6i 14 + 6i = 0 Solving 14 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6i = 0 + -14 6i = 0 + -14 Combine like terms: 0 + -14 = -14 6i = -14 Divide each side by '6'. i = -2.333333333 Simplifying i = -2.333333333
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