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Simplifying (-6 + -6i) + (7 + 2i) = 0 Remove parenthesis around (-6 + -6i) -6 + -6i + (7 + 2i) = 0 Remove parenthesis around (7 + 2i) -6 + -6i + 7 + 2i = 0 Reorder the terms: -6 + 7 + -6i + 2i = 0 Combine like terms: -6 + 7 = 1 1 + -6i + 2i = 0 Combine like terms: -6i + 2i = -4i 1 + -4i = 0 Solving 1 + -4i = 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 + -4i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4i = 0 + -1 -4i = 0 + -1 Combine like terms: 0 + -1 = -1 -4i = -1 Divide each side by '-4'. i = 0.25 Simplifying i = 0.25
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