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Simplifying 4i + 7i + -1(i + -9) + 2 = 0 Reorder the terms: 4i + 7i + -1(-9 + i) + 2 = 0 4i + 7i + (-9 * -1 + i * -1) + 2 = 0 4i + 7i + (9 + -1i) + 2 = 0 Reorder the terms: 9 + 2 + 4i + 7i + -1i = 0 Combine like terms: 9 + 2 = 11 11 + 4i + 7i + -1i = 0 Combine like terms: 4i + 7i = 11i 11 + 11i + -1i = 0 Combine like terms: 11i + -1i = 10i 11 + 10i = 0 Solving 11 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10i = 0 + -11 10i = 0 + -11 Combine like terms: 0 + -11 = -11 10i = -11 Divide each side by '10'. i = -1.1 Simplifying i = -1.1
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