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Simplifying (3 + -1n) + (7m + -14) * i = 1 + 7i Remove parenthesis around (3 + -1n) 3 + -1n + (7m + -14) * i = 1 + 7i Reorder the terms: 3 + -1n + (-14 + 7m) * i = 1 + 7i Reorder the terms for easier multiplication: 3 + -1n + i(-14 + 7m) = 1 + 7i 3 + -1n + (-14 * i + 7m * i) = 1 + 7i 3 + -1n + (-14i + 7im) = 1 + 7i Reorder the terms: 3 + -14i + 7im + -1n = 1 + 7i Solving 3 + -14i + 7im + -1n = 1 + 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. 3 + -14i + 7im + -7i + -1n = 1 + 7i + -7i Reorder the terms: 3 + -14i + -7i + 7im + -1n = 1 + 7i + -7i Combine like terms: -14i + -7i = -21i 3 + -21i + 7im + -1n = 1 + 7i + -7i Combine like terms: 7i + -7i = 0 3 + -21i + 7im + -1n = 1 + 0 3 + -21i + 7im + -1n = 1 Add '-3' to each side of the equation. 3 + -21i + 7im + -3 + -1n = 1 + -3 Reorder the terms: 3 + -3 + -21i + 7im + -1n = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -21i + 7im + -1n = 1 + -3 -21i + 7im + -1n = 1 + -3 Combine like terms: 1 + -3 = -2 -21i + 7im + -1n = -2 Add 'n' to each side of the equation. -21i + 7im + -1n + n = -2 + n Combine like terms: -1n + n = 0 -21i + 7im + 0 = -2 + n -21i + 7im = -2 + n Reorder the terms: 2 + -21i + 7im + -1n = -2 + n + 2 + -1n Reorder the terms: 2 + -21i + 7im + -1n = -2 + 2 + n + -1n Combine like terms: -2 + 2 = 0 2 + -21i + 7im + -1n = 0 + n + -1n 2 + -21i + 7im + -1n = n + -1n Combine like terms: n + -1n = 0 2 + -21i + 7im + -1n = 0 The solution to this equation could not be determined.
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