Question

51=7{-1+2v}+2

Answer 1

Simplifying
51 = 7(-1 + 2v) + 2
51 = (-1 * 7 + 2v * 7) + 2
51 = (-7 + 14v) + 2

Reorder the terms:
51 = -7 + 2 + 14v

Combine like terms: -7 + 2 = -5
51 = -5 + 14v

Solving
51 = -5 + 14v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-14v' to each side of the equation.
51 + -14v = -5 + 14v + -14v

Combine like terms: 14v + -14v = 0
51 + -14v = -5 + 0
51 + -14v = -5

Add '-51' to each side of the equation.
51 + -51 + -14v = -5 + -51

Combine like terms: 51 + -51 = 0
0 + -14v = -5 + -51
-14v = -5 + -51

Combine like terms: -5 + -51 = -56
-14v = -56

Divide each side by '-14'.
v = 4

Simplifying
v = 4