2(1-v)+9=3(2b+1)

Solution for 2(1-v)+9=3(2b+1) equation:

Simplifying
2(1 + -1v) + 9 = 3(2b + 1)
(1 * 2 + -1v * 2) + 9 = 3(2b + 1)
(2 + -2v) + 9 = 3(2b + 1)

Reorder the terms:
2 + 9 + -2v = 3(2b + 1)

Combine like terms: 2 + 9 = 11
11 + -2v = 3(2b + 1)

Reorder the terms:
11 + -2v = 3(1 + 2b)
11 + -2v = (1 * 3 + 2b * 3)
11 + -2v = (3 + 6b)

Solving
11 + -2v = 3 + 6b

Solving for variable 'v'.

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

Add '-11' to each side of the equation.
11 + -11 + -2v = 3 + -11 + 6b

Combine like terms: 11 + -11 = 0
0 + -2v = 3 + -11 + 6b
-2v = 3 + -11 + 6b

Combine like terms: 3 + -11 = -8
-2v = -8 + 6b

Divide each side by '-2'.
v = 4 + -3b

Simplifying
v = 4 + -3b