-3(3v-7)+7v=6+3(2v-1)

Solution for -3(3v-7)+7v=6+3(2v-1) equation:

Simplifying
-3(3v + -7) + 7v = 6 + 3(2v + -1)

Reorder the terms:
-3(-7 + 3v) + 7v = 6 + 3(2v + -1)
(-7 * -3 + 3v * -3) + 7v = 6 + 3(2v + -1)
(21 + -9v) + 7v = 6 + 3(2v + -1)

Combine like terms: -9v + 7v = -2v
21 + -2v = 6 + 3(2v + -1)

Reorder the terms:
21 + -2v = 6 + 3(-1 + 2v)
21 + -2v = 6 + (-1 * 3 + 2v * 3)
21 + -2v = 6 + (-3 + 6v)

Combine like terms: 6 + -3 = 3
21 + -2v = 3 + 6v

Solving
21 + -2v = 3 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
21 + -2v + -6v = 3 + 6v + -6v

Combine like terms: -2v + -6v = -8v
21 + -8v = 3 + 6v + -6v

Combine like terms: 6v + -6v = 0
21 + -8v = 3 + 0
21 + -8v = 3

Add '-21' to each side of the equation.
21 + -21 + -8v = 3 + -21

Combine like terms: 21 + -21 = 0
0 + -8v = 3 + -21
-8v = 3 + -21

Combine like terms: 3 + -21 = -18
-8v = -18

Divide each side by '-8'.
v = 2.25

Simplifying
v = 2.25