2/7а+1/6р-5/7а+5/6р=

To simplify the expression \( \frac{2}{7}a + \frac{1}{6}p - \frac{5}{7}a + \frac{5}{6}p \), you can combine like terms.

1. First, combine the \( a \) terms: \[ \frac{2}{7}a - \frac{5}{7}a = \left(\frac{2 - 5}{7}\right)a = \frac{-3}{7}a \]

2. Next, combine the \( p \) terms: \[ \frac{1}{6}p + \frac{5}{6}p = \left(\frac{1 + 5}{6}\right)p = \frac{6}{6}p = 1p = p \]

Finally, combine the results: \[ \frac{-3}{7}a + p \]

So, the simplified expression is: \[ p - \frac{3}{7}a \]