51=7(-1+2v)+6(1+6v)

Solution for 51=7(-1+2v)+6(1+6v) equation:

Simplifying
51 = 7(-1 + 2v) + 6(1 + 6v)
51 = (-1 * 7 + 2v * 7) + 6(1 + 6v)
51 = (-7 + 14v) + 6(1 + 6v)
51 = -7 + 14v + (1 * 6 + 6v * 6)
51 = -7 + 14v + (6 + 36v)

Reorder the terms:
51 = -7 + 6 + 14v + 36v

Combine like terms: -7 + 6 = -1
51 = -1 + 14v + 36v

Combine like terms: 14v + 36v = 50v
51 = -1 + 50v

Solving
51 = -1 + 50v

Solving for variable 'v'.

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

Add '-50v' to each side of the equation.
51 + -50v = -1 + 50v + -50v

Combine like terms: 50v + -50v = 0
51 + -50v = -1 + 0
51 + -50v = -1

Add '-51' to each side of the equation.
51 + -51 + -50v = -1 + -51

Combine like terms: 51 + -51 = 0
0 + -50v = -1 + -51
-50v = -1 + -51

Combine like terms: -1 + -51 = -52
-50v = -52

Divide each side by '-50'.
v = 1.04

Simplifying
v = 1.04