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Simplifying (-7i) + (2i) + -1(-2 + -4i) = 0 (-7i) + (2i) + (-2 * -1 + -4i * -1) = 0 (-7i) + (2i) + (2 + 4i) = 0 Reorder the terms: 2 + (-7i) + (2i) + 4i = 0 Combine like terms: (-7i) + (2i) = -5i 2 + -5i + 4i = 0 Combine like terms: -5i + 4i = -1i 2 + -1i = 0 Solving 2 + -1i = 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 + -1i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = 0 + -2 -1i = 0 + -2 Combine like terms: 0 + -2 = -2 -1i = -2 Divide each side by '-1'. i = 2 Simplifying i = 2
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