2v+6(v-7)=-90

Solution for 2v+6(v-7)=-90 equation:

Simplifying
2v + 6(v + -7) = -90

Reorder the terms:
2v + 6(-7 + v) = -90
2v + (-7 * 6 + v * 6) = -90
2v + (-42 + 6v) = -90

Reorder the terms:
-42 + 2v + 6v = -90

Combine like terms: 2v + 6v = 8v
-42 + 8v = -90

Solving
-42 + 8v = -90

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 + 8v = -90 + 42

Combine like terms: -42 + 42 = 0
0 + 8v = -90 + 42
8v = -90 + 42

Combine like terms: -90 + 42 = -48
8v = -48

Divide each side by '8'.
v = -6

Simplifying
v = -6