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Simplifying -1(-4 + 2i) + (4 + -4i) = 0 (-4 * -1 + 2i * -1) + (4 + -4i) = 0 (4 + -2i) + (4 + -4i) = 0 Remove parenthesis around (4 + -4i) 4 + -2i + 4 + -4i = 0 Reorder the terms: 4 + 4 + -2i + -4i = 0 Combine like terms: 4 + 4 = 8 8 + -2i + -4i = 0 Combine like terms: -2i + -4i = -6i 8 + -6i = 0 Solving 8 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6i = 0 + -8 -6i = 0 + -8 Combine like terms: 0 + -8 = -8 -6i = -8 Divide each side by '-6'. i = 1.333333333 Simplifying i = 1.333333333
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