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Simplifying (11 + -6i) + -1(-4 + 12i) = 0 Remove parenthesis around (11 + -6i) 11 + -6i + -1(-4 + 12i) = 0 11 + -6i + (-4 * -1 + 12i * -1) = 0 11 + -6i + (4 + -12i) = 0 Reorder the terms: 11 + 4 + -6i + -12i = 0 Combine like terms: 11 + 4 = 15 15 + -6i + -12i = 0 Combine like terms: -6i + -12i = -18i 15 + -18i = 0 Solving 15 + -18i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -18i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -18i = 0 + -15 -18i = 0 + -15 Combine like terms: 0 + -15 = -15 -18i = -15 Divide each side by '-18'. i = 0.8333333333 Simplifying i = 0.8333333333
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