How do you solve 51= 7( - 1+ 2v ) +2?

May 29, 2018

$v = 4$

Explanation:

As per the question, we have

$51 = 7 \left(- 1 + 2 v\right) + 2$

$\therefore 51 = - 7 + 14 v + 2$

$\therefore 51 = - 5 + 14 v$

$\therefore 51 + 5 = - 5 + 5 + 14 v$ ... [Adding $5$ to both the sides]

$\therefore 56 = \cancel{-} 5 + \cancel{5} + 14 v$

$\therefore 14 v = 56$

$\therefore v = \frac{56}{14}$

$\therefore v = 4$