6(v-7)-8v=-32

Solution for 6(v-7)-8v=-32 equation:

Simplifying
6(v + -7) + -8v = -32

Reorder the terms:
6(-7 + v) + -8v = -32
(-7 * 6 + v * 6) + -8v = -32
(-42 + 6v) + -8v = -32

Combine like terms: 6v + -8v = -2v
-42 + -2v = -32

Solving
-42 + -2v = -32

Solving for variable 'v'.

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

Add '42' to each side of the equation.
-42 + 42 + -2v = -32 + 42

Combine like terms: -42 + 42 = 0
0 + -2v = -32 + 42
-2v = -32 + 42

Combine like terms: -32 + 42 = 10
-2v = 10

Divide each side by '-2'.
v = -5

Simplifying
v = -5