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Simplifying (2n + -5) + (-1m + -2) * i = 3 + -7i Reorder the terms: (-5 + 2n) + (-1m + -2) * i = 3 + -7i Remove parenthesis around (-5 + 2n) -5 + 2n + (-1m + -2) * i = 3 + -7i Reorder the terms: -5 + 2n + (-2 + -1m) * i = 3 + -7i Reorder the terms for easier multiplication: -5 + 2n + i(-2 + -1m) = 3 + -7i -5 + 2n + (-2 * i + -1m * i) = 3 + -7i -5 + 2n + (-2i + -1im) = 3 + -7i Reorder the terms: -5 + -2i + -1im + 2n = 3 + -7i Solving -5 + -2i + -1im + 2n = 3 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. -5 + -2i + -1im + 7i + 2n = 3 + -7i + 7i Reorder the terms: -5 + -2i + 7i + -1im + 2n = 3 + -7i + 7i Combine like terms: -2i + 7i = 5i -5 + 5i + -1im + 2n = 3 + -7i + 7i Combine like terms: -7i + 7i = 0 -5 + 5i + -1im + 2n = 3 + 0 -5 + 5i + -1im + 2n = 3 Add '5' to each side of the equation. -5 + 5i + -1im + 5 + 2n = 3 + 5 Reorder the terms: -5 + 5 + 5i + -1im + 2n = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 5i + -1im + 2n = 3 + 5 5i + -1im + 2n = 3 + 5 Combine like terms: 3 + 5 = 8 5i + -1im + 2n = 8 Add '-2n' to each side of the equation. 5i + -1im + 2n + -2n = 8 + -2n Combine like terms: 2n + -2n = 0 5i + -1im + 0 = 8 + -2n 5i + -1im = 8 + -2n Reorder the terms: -8 + 5i + -1im + 2n = 8 + -2n + -8 + 2n Reorder the terms: -8 + 5i + -1im + 2n = 8 + -8 + -2n + 2n Combine like terms: 8 + -8 = 0 -8 + 5i + -1im + 2n = 0 + -2n + 2n -8 + 5i + -1im + 2n = -2n + 2n Combine like terms: -2n + 2n = 0 -8 + 5i + -1im + 2n = 0 The solution to this equation could not be determined.
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