3(v+1)+7v=4(v+1)-7

Solution for 3(v+1)+7v=4(v+1)-7 equation:

Simplifying
3(v + 1) + 7v = 4(v + 1) + -7

Reorder the terms:
3(1 + v) + 7v = 4(v + 1) + -7
(1 * 3 + v * 3) + 7v = 4(v + 1) + -7
(3 + 3v) + 7v = 4(v + 1) + -7

Combine like terms: 3v + 7v = 10v
3 + 10v = 4(v + 1) + -7

Reorder the terms:
3 + 10v = 4(1 + v) + -7
3 + 10v = (1 * 4 + v * 4) + -7
3 + 10v = (4 + 4v) + -7

Reorder the terms:
3 + 10v = 4 + -7 + 4v

Combine like terms: 4 + -7 = -3
3 + 10v = -3 + 4v

Solving
3 + 10v = -3 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
3 + 10v + -4v = -3 + 4v + -4v

Combine like terms: 10v + -4v = 6v
3 + 6v = -3 + 4v + -4v

Combine like terms: 4v + -4v = 0
3 + 6v = -3 + 0
3 + 6v = -3

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

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

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

Divide each side by '6'.
v = -1

Simplifying
v = -1