3(v-7)+8v=1

Solution for 3(v-7)+8v=1 equation:

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

Reorder the terms:
3(-7 + v) + 8v = 1
(-7 * 3 + v * 3) + 8v = 1
(-21 + 3v) + 8v = 1

Combine like terms: 3v + 8v = 11v
-21 + 11v = 1

Solving
-21 + 11v = 1

Solving for variable 'v'.

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

Add '21' to each side of the equation.
-21 + 21 + 11v = 1 + 21

Combine like terms: -21 + 21 = 0
0 + 11v = 1 + 21
11v = 1 + 21

Combine like terms: 1 + 21 = 22
11v = 22

Divide each side by '11'.
v = 2

Simplifying
v = 2