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Simplifying (8 + -7i) + (-9 + -1i) = 0 Remove parenthesis around (8 + -7i) 8 + -7i + (-9 + -1i) = 0 Remove parenthesis around (-9 + -1i) 8 + -7i + -9 + -1i = 0 Reorder the terms: 8 + -9 + -7i + -1i = 0 Combine like terms: 8 + -9 = -1 -1 + -7i + -1i = 0 Combine like terms: -7i + -1i = -8i -1 + -8i = 0 Solving -1 + -8i = 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 + -8i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8i = 0 + 1 -8i = 0 + 1 Combine like terms: 0 + 1 = 1 -8i = 1 Divide each side by '-8'. i = -0.125 Simplifying i = -0.125
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