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Simplifying (-7 + 9i) + (2 + -10i) = 0 Remove parenthesis around (-7 + 9i) -7 + 9i + (2 + -10i) = 0 Remove parenthesis around (2 + -10i) -7 + 9i + 2 + -10i = 0 Reorder the terms: -7 + 2 + 9i + -10i = 0 Combine like terms: -7 + 2 = -5 -5 + 9i + -10i = 0 Combine like terms: 9i + -10i = -1i -5 + -1i = 0 Solving -5 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1i = 0 + 5 -1i = 0 + 5 Combine like terms: 0 + 5 = 5 -1i = 5 Divide each side by '-1'. i = -5 Simplifying i = -5
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