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Simplifying (2 + -7i) + -1(-2 + 5i) = 0 Remove parenthesis around (2 + -7i) 2 + -7i + -1(-2 + 5i) = 0 2 + -7i + (-2 * -1 + 5i * -1) = 0 2 + -7i + (2 + -5i) = 0 Reorder the terms: 2 + 2 + -7i + -5i = 0 Combine like terms: 2 + 2 = 4 4 + -7i + -5i = 0 Combine like terms: -7i + -5i = -12i 4 + -12i = 0 Solving 4 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -12i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12i = 0 + -4 -12i = 0 + -4 Combine like terms: 0 + -4 = -4 -12i = -4 Divide each side by '-12'. i = 0.3333333333 Simplifying i = 0.3333333333
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