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Simplifying (10 + -7i) + -1(7 + 9i) = 0 Remove parenthesis around (10 + -7i) 10 + -7i + -1(7 + 9i) = 0 10 + -7i + (7 * -1 + 9i * -1) = 0 10 + -7i + (-7 + -9i) = 0 Reorder the terms: 10 + -7 + -7i + -9i = 0 Combine like terms: 10 + -7 = 3 3 + -7i + -9i = 0 Combine like terms: -7i + -9i = -16i 3 + -16i = 0 Solving 3 + -16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -16i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -16i = 0 + -3 -16i = 0 + -3 Combine like terms: 0 + -3 = -3 -16i = -3 Divide each side by '-16'. i = 0.1875 Simplifying i = 0.1875
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