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Simplifying (-1 + -6i) + 8 + (2 + -7i) = 0 Remove parenthesis around (-1 + -6i) -1 + -6i + 8 + (2 + -7i) = 0 Remove parenthesis around (2 + -7i) -1 + -6i + 8 + 2 + -7i = 0 Reorder the terms: -1 + 8 + 2 + -6i + -7i = 0 Combine like terms: -1 + 8 = 7 7 + 2 + -6i + -7i = 0 Combine like terms: 7 + 2 = 9 9 + -6i + -7i = 0 Combine like terms: -6i + -7i = -13i 9 + -13i = 0 Solving 9 + -13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -13i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13i = 0 + -9 -13i = 0 + -9 Combine like terms: 0 + -9 = -9 -13i = -9 Divide each side by '-13'. i = 0.6923076923 Simplifying i = 0.6923076923
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