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Simplifying (4 + n) + (3m + -7) * i = 8 + -2i Remove parenthesis around (4 + n) 4 + n + (3m + -7) * i = 8 + -2i Reorder the terms: 4 + n + (-7 + 3m) * i = 8 + -2i Reorder the terms for easier multiplication: 4 + n + i(-7 + 3m) = 8 + -2i 4 + n + (-7 * i + 3m * i) = 8 + -2i 4 + n + (-7i + 3im) = 8 + -2i Reorder the terms: 4 + -7i + 3im + n = 8 + -2i Solving 4 + -7i + 3im + n = 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. 4 + -7i + 3im + 2i + n = 8 + -2i + 2i Reorder the terms: 4 + -7i + 2i + 3im + n = 8 + -2i + 2i Combine like terms: -7i + 2i = -5i 4 + -5i + 3im + n = 8 + -2i + 2i Combine like terms: -2i + 2i = 0 4 + -5i + 3im + n = 8 + 0 4 + -5i + 3im + n = 8 Add '-4' to each side of the equation. 4 + -5i + 3im + -4 + n = 8 + -4 Reorder the terms: 4 + -4 + -5i + 3im + n = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -5i + 3im + n = 8 + -4 -5i + 3im + n = 8 + -4 Combine like terms: 8 + -4 = 4 -5i + 3im + n = 4 Add '-1n' to each side of the equation. -5i + 3im + n + -1n = 4 + -1n Combine like terms: n + -1n = 0 -5i + 3im + 0 = 4 + -1n -5i + 3im = 4 + -1n Reorder the terms: -4 + -5i + 3im + n = 4 + -1n + -4 + n Reorder the terms: -4 + -5i + 3im + n = 4 + -4 + -1n + n Combine like terms: 4 + -4 = 0 -4 + -5i + 3im + n = 0 + -1n + n -4 + -5i + 3im + n = -1n + n Combine like terms: -1n + n = 0 -4 + -5i + 3im + n = 0 The solution to this equation could not be determined.
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