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Simplifying (-7 + 9i) + (2 + -100) = 0 Remove parenthesis around (-7 + 9i) -7 + 9i + (2 + -100) = 0 Combine like terms: 2 + -100 = -98 -7 + 9i + (-98) = 0 -7 + 9i + -98 = 0 Reorder the terms: -7 + -98 + 9i = 0 Combine like terms: -7 + -98 = -105 -105 + 9i = 0 Solving -105 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + 9i = 0 + 105 Combine like terms: -105 + 105 = 0 0 + 9i = 0 + 105 9i = 0 + 105 Combine like terms: 0 + 105 = 105 9i = 105 Divide each side by '9'. i = 11.66666667 Simplifying i = 11.66666667
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