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Simplifying -1(-2 + 5i) + (1 + -7i) = 0 (-2 * -1 + 5i * -1) + (1 + -7i) = 0 (2 + -5i) + (1 + -7i) = 0 Remove parenthesis around (1 + -7i) 2 + -5i + 1 + -7i = 0 Reorder the terms: 2 + 1 + -5i + -7i = 0 Combine like terms: 2 + 1 = 3 3 + -5i + -7i = 0 Combine like terms: -5i + -7i = -12i 3 + -12i = 0 Solving 3 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -12i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -12i = 0 + -3 -12i = 0 + -3 Combine like terms: 0 + -3 = -3 -12i = -3 Divide each side by '-12'. i = 0.25 Simplifying i = 0.25
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