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