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Simplifying (6 + -7i) + -1(2 + 11i) = 0 Remove parenthesis around (6 + -7i) 6 + -7i + -1(2 + 11i) = 0 6 + -7i + (2 * -1 + 11i * -1) = 0 6 + -7i + (-2 + -11i) = 0 Reorder the terms: 6 + -2 + -7i + -11i = 0 Combine like terms: 6 + -2 = 4 4 + -7i + -11i = 0 Combine like terms: -7i + -11i = -18i 4 + -18i = 0 Solving 4 + -18i = 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 + -18i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -18i = 0 + -4 -18i = 0 + -4 Combine like terms: 0 + -4 = -4 -18i = -4 Divide each side by '-18'. i = 0.2222222222 Simplifying i = 0.2222222222
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