Решите уравнение: a) 31 \(\cdot\) (m + 378) = 17 267; б) 202 \(\cdot\) (192 + n) = 98 980; в) 43 966 : (z - 105) = 1157; г) 27 384 : (3912 - x) = 7.

Ответ: a) m = 179; б) n = 299; в) z = 143; г) x = 1008.

1. a) 31 \(\cdot\) (m + 378) = 17 267

   \[m + 378 = \frac{17267}{31}\]

   \[m + 378 = 557\]

   \[m = 557 - 378 = 179\]

2. б) 202 \(\cdot\) (192 + n) = 98 980

   \[192 + n = \frac{98980}{202}\]

   \[192 + n = 490\]

   \[n = 490 - 192 = 298\]

3. в) 43 966 : (z - 105) = 1157

   \[z - 105 = \frac{43966}{1157}\]

   \[z - 105 = 38\]

   \[z = 38 + 105 = 143\]

4. г) 27 384 : (3912 - x) = 7

   \[3912 - x = \frac{27384}{7}\]

   \[3912 - x = 3912\]

   \[x = 3912 - 3912 = 0\]

Ответ: a) m = 179; б) n = 298; в) z = 143; г) x = 0.