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Simplifying (4n + n) + (3m + -7) * i = 8 + -2i Combine like terms: 4n + n = 5n (5n) + (3m + -7) * i = 8 + -2i (5n) + (3m + -7) * i = 8 + -2i Reorder the terms: (5n) + (-7 + 3m) * i = 8 + -2i Reorder the terms for easier multiplication: (5n) + i(-7 + 3m) = 8 + -2i (5n) + (-7 * i + 3m * i) = 8 + -2i (5n) + (-7i + 3im) = 8 + -2i Reorder the terms: -7i + 3im + (5n) = 8 + -2i Solving -7i + 3im + (5n) = 8 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. -7i + 3im + 2i + (5n) = 8 + -2i + 2i Reorder the terms: -7i + 2i + 3im + (5n) = 8 + -2i + 2i Combine like terms: -7i + 2i = -5i -5i + 3im + (5n) = 8 + -2i + 2i Combine like terms: -2i + 2i = 0 -5i + 3im + (5n) = 8 + 0 -5i + 3im + (5n) = 8 Add '(-5n)' to each side of the equation. -5i + 3im + (5n) + (-5n) = 8 + (-5n) Combine like terms: (5n) + (-5n) = 0 -5i + 3im + 0 = 8 + (-5n) -5i + 3im = 8 + (-5n) Reorder the terms: -8 + -5i + 3im + (5n) = 8 + (-5n) + -8 + (5n) Reorder the terms: -8 + -5i + 3im + (5n) = 8 + -8 + (-5n) + (5n) Combine like terms: 8 + -8 = 0 -8 + -5i + 3im + (5n) = 0 + (-5n) + (5n) -8 + -5i + 3im + (5n) = (-5n) + (5n) Combine like terms: (-5n) + (5n) = 0 -8 + -5i + 3im + (5n) = 0 The solution to this equation could not be determined.
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