114=6(6v+1)

Solution for 114=6(6v+1) equation:

Simplifying
114 = 6(6v + 1)

Reorder the terms:
114 = 6(1 + 6v)
114 = (1 * 6 + 6v * 6)
114 = (6 + 36v)

Solving
114 = 6 + 36v

Solving for variable 'v'.

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

Add '-36v' to each side of the equation.
114 + -36v = 6 + 36v + -36v

Combine like terms: 36v + -36v = 0
114 + -36v = 6 + 0
114 + -36v = 6

Add '-114' to each side of the equation.
114 + -114 + -36v = 6 + -114

Combine like terms: 114 + -114 = 0
0 + -36v = 6 + -114
-36v = 6 + -114

Combine like terms: 6 + -114 = -108
-36v = -108

Divide each side by '-36'.
v = 3

Simplifying
v = 3