2(v+7)+6(1-2v)=30

Solution for 2(v+7)+6(1-2v)=30 equation:

Simplifying
2(v + 7) + 6(1 + -2v) = 30

Reorder the terms:
2(7 + v) + 6(1 + -2v) = 30
(7 * 2 + v * 2) + 6(1 + -2v) = 30
(14 + 2v) + 6(1 + -2v) = 30
14 + 2v + (1 * 6 + -2v * 6) = 30
14 + 2v + (6 + -12v) = 30

Reorder the terms:
14 + 6 + 2v + -12v = 30

Combine like terms: 14 + 6 = 20
20 + 2v + -12v = 30

Combine like terms: 2v + -12v = -10v
20 + -10v = 30

Solving
20 + -10v = 30

Solving for variable 'v'.

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

Add '-20' to each side of the equation.
20 + -20 + -10v = 30 + -20

Combine like terms: 20 + -20 = 0
0 + -10v = 30 + -20
-10v = 30 + -20

Combine like terms: 30 + -20 = 10
-10v = 10

Divide each side by '-10'.
v = -1

Simplifying
v = -1