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Simplifying (-12 + 1)(-12 + -1i) = 145 Combine like terms: -12 + 1 = -11 (-11)(-12 + -1i) = 145 (-12 * -11 + -1i * -11) = 145 (132 + 11i) = 145 Solving 132 + 11i = 145 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + -132 + 11i = 145 + -132 Combine like terms: 132 + -132 = 0 0 + 11i = 145 + -132 11i = 145 + -132 Combine like terms: 145 + -132 = 13 11i = 13 Divide each side by '11'. i = 1.181818182 Simplifying i = 1.181818182
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