7v+6=7(8v+8)-1

Solution for 7v+6=7(8v+8)-1 equation:

Simplifying
7v + 6 = 7(8v + 8) + -1

Reorder the terms:
6 + 7v = 7(8v + 8) + -1

Reorder the terms:
6 + 7v = 7(8 + 8v) + -1
6 + 7v = (8 * 7 + 8v * 7) + -1
6 + 7v = (56 + 56v) + -1

Reorder the terms:
6 + 7v = 56 + -1 + 56v

Combine like terms: 56 + -1 = 55
6 + 7v = 55 + 56v

Solving
6 + 7v = 55 + 56v

Solving for variable 'v'.

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

Add '-56v' to each side of the equation.
6 + 7v + -56v = 55 + 56v + -56v

Combine like terms: 7v + -56v = -49v
6 + -49v = 55 + 56v + -56v

Combine like terms: 56v + -56v = 0
6 + -49v = 55 + 0
6 + -49v = 55

Add '-6' to each side of the equation.
6 + -6 + -49v = 55 + -6

Combine like terms: 6 + -6 = 0
0 + -49v = 55 + -6
-49v = 55 + -6

Combine like terms: 55 + -6 = 49
-49v = 49

Divide each side by '-49'.
v = -1

Simplifying
v = -1