32=8v+6(v+3)

Solution for 32=8v+6(v+3) equation:

Simplifying
32 = 8v + 6(v + 3)

Reorder the terms:
32 = 8v + 6(3 + v)
32 = 8v + (3 * 6 + v * 6)
32 = 8v + (18 + 6v)

Reorder the terms:
32 = 18 + 8v + 6v

Combine like terms: 8v + 6v = 14v
32 = 18 + 14v

Solving
32 = 18 + 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.
32 + -14v = 18 + 14v + -14v

Combine like terms: 14v + -14v = 0
32 + -14v = 18 + 0
32 + -14v = 18

Add '-32' to each side of the equation.
32 + -32 + -14v = 18 + -32

Combine like terms: 32 + -32 = 0
0 + -14v = 18 + -32
-14v = 18 + -32

Combine like terms: 18 + -32 = -14
-14v = -14

Divide each side by '-14'.
v = 1

Simplifying
v = 1