6v+7(v-6)=-16

Solution for 6v+7(v-6)=-16 equation:

Simplifying
6v + 7(v + -6) = -16

Reorder the terms:
6v + 7(-6 + v) = -16
6v + (-6 * 7 + v * 7) = -16
6v + (-42 + 7v) = -16

Reorder the terms:
-42 + 6v + 7v = -16

Combine like terms: 6v + 7v = 13v
-42 + 13v = -16

Solving
-42 + 13v = -16

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 + 13v = -16 + 42

Combine like terms: -42 + 42 = 0
0 + 13v = -16 + 42
13v = -16 + 42

Combine like terms: -16 + 42 = 26
13v = 26

Divide each side by '13'.
v = 2

Simplifying
v = 2