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Simplifying (3 + -4i) + -1(2 + 2i) = 0 Remove parenthesis around (3 + -4i) 3 + -4i + -1(2 + 2i) = 0 3 + -4i + (2 * -1 + 2i * -1) = 0 3 + -4i + (-2 + -2i) = 0 Reorder the terms: 3 + -2 + -4i + -2i = 0 Combine like terms: 3 + -2 = 1 1 + -4i + -2i = 0 Combine like terms: -4i + -2i = -6i 1 + -6i = 0 Solving 1 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6i = 0 + -1 -6i = 0 + -1 Combine like terms: 0 + -1 = -1 -6i = -1 Divide each side by '-6'. i = 0.1666666667 Simplifying i = 0.1666666667
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