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Simplifying (-2 + -3i) + -1(-4 + -14i) = 0 Remove parenthesis around (-2 + -3i) -2 + -3i + -1(-4 + -14i) = 0 -2 + -3i + (-4 * -1 + -14i * -1) = 0 -2 + -3i + (4 + 14i) = 0 Reorder the terms: -2 + 4 + -3i + 14i = 0 Combine like terms: -2 + 4 = 2 2 + -3i + 14i = 0 Combine like terms: -3i + 14i = 11i 2 + 11i = 0 Solving 2 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11i = 0 + -2 11i = 0 + -2 Combine like terms: 0 + -2 = -2 11i = -2 Divide each side by '11'. i = -0.1818181818 Simplifying i = -0.1818181818
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