-7v+6(6v-6)=109

Solution for -7v+6(6v-6)=109 equation:

Simplifying
-7v + 6(6v + -6) = 109

Reorder the terms:
-7v + 6(-6 + 6v) = 109
-7v + (-6 * 6 + 6v * 6) = 109
-7v + (-36 + 36v) = 109

Reorder the terms:
-36 + -7v + 36v = 109

Combine like terms: -7v + 36v = 29v
-36 + 29v = 109

Solving
-36 + 29v = 109

Solving for variable 'v'.

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

Add '36' to each side of the equation.
-36 + 36 + 29v = 109 + 36

Combine like terms: -36 + 36 = 0
0 + 29v = 109 + 36
29v = 109 + 36

Combine like terms: 109 + 36 = 145
29v = 145

Divide each side by '29'.
v = 5

Simplifying
v = 5