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Simplifying (4 + -9i) + -1(-9 + -7i) = 0 Remove parenthesis around (4 + -9i) 4 + -9i + -1(-9 + -7i) = 0 4 + -9i + (-9 * -1 + -7i * -1) = 0 4 + -9i + (9 + 7i) = 0 Reorder the terms: 4 + 9 + -9i + 7i = 0 Combine like terms: 4 + 9 = 13 13 + -9i + 7i = 0 Combine like terms: -9i + 7i = -2i 13 + -2i = 0 Solving 13 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2i = 0 + -13 -2i = 0 + -13 Combine like terms: 0 + -13 = -13 -2i = -13 Divide each side by '-2'. i = 6.5 Simplifying i = 6.5
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