\[\boxed{\text{5.194.}}\]
\[\textbf{а)}\ (z - 39) \cdot 37 = 7\ 955\]
\[z - 39 = 7\ 955\ :37\]
\[z - 39 = 215\]
\[z = 215 + 39\]
\[z = 254.\ \]
\[Ответ:254.\]
\[\textbf{б)}\ 789 \cdot (t - 361) = 11\ 835\]
\[t - 361 = 11\ 835\ :789\]
\[t - 361 = 15\]
\[t = 15 + 361\]
\[t = 376.\ \]
\[Ответ:376.\]
\[\textbf{в)}\ (205 \cdot 78 + m)\ :9\ 109 = 6\]
\[15\ 990 + m = 6 \cdot 9\ 109\]
\[15\ 990 + m = 54\ 654\]
\[m = 54\ 654 - 15\ 990\]
\[m = 38\ 664.\ \]
\[Ответ:38\ 664.\]
\[\textbf{г)}\ 49\ 635\ :(m - 973) = 1\ 103\]
\[m - 973 = 49\ 635\ :1\ 103\]
\[m - 973 = 45\]
\[m = 45 + 973\]
\[m = 1\ 018\text{.\ }\]
\[Ответ:1\ 018.\]
\[\textbf{д)}\ 21z + 7z - 38 = 46\]
\[28z = 46 + 38\]
\[28z = 84\]
\[z = 84\ :28\]
\[z = 3.\ \]
\[Ответ:3.\]
\[\textbf{е)}\ 24t - 13t - 7 = 15\ \]
\[11t = 15 + 7\]
\[11t = 22\]
\[t = 22\ :11\]
\[t = 2.\ \]
\[Ответ:2.\]